Questions on Algebra: Logarithm answered by real tutors!

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Tutors Answer Your Questions about logarithm (FREE)


Question 581652: Using the exponential correlation, how do I solve for x. Round to three decimal places.
1)log(4x+10)=3
2)1/2 log6 16x +5=8
3)In(x+4)=-2

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Question 581217: Using logarithm properties condense the following:
2[lnx-ln(x+1)-ln(x-1)]

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Question 581755: I've forgotten how to solve simple logorithims.. haha
3. Find all real solutions to the following:
a) log2(x 􀀀 2) + log2(x + 1) = log2 10

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Question 581756: 3. Find all real solutions to the following:
a) log2(x - 2) + log2(x + 1) = log2 10

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Question 582279: 4^x=e^ax need to solve for a, your help is much appreciated,all working please, thanks.
Click here to see answer by jim_thompson5910(28717) About Me 

Question 582329: How do you condense log base 4 of 3+ 3 log base 4 of 2
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Question 582406: how we will find that ph=-log[h+] if ph=7
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Question 582865: Write the expression as a sum and/or difference of logarithms. Express powers as factors. I'm lost in this problem, can anyone help?
ln [ ( x - 4 )^2 / x^2 - 1 ]^2/3 x>4

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Question 582866: log_6(3600)=5x
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Question 582495: Solve the logarithmic equation algebraically. Approximate the result to three decimal places. (If there is no solution, enter NO SOLUTION.)
ln x + ln(x + 2) = 1

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Question 582927: If log2=0.3010 then what is log5?
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Question 583204: Write the expression as a single logarithm or single natural logarithm?
1)1/3 log4 27-(2log4 6- 1/2 log4 81)
2)log3 4- log3 2)
3)2ln 8-ln 3+ln x
4)ln a-2ln b+ 1/2 ln c

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Question 583440: what does x equal when (2/5)^x=7?
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Question 583455: what is the inverse of f(x)=5^(.8x)?
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Question 583478: 1/2(log6 + log 3 - 3log2) expressed as a single logarithm and evaluated.
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Question 583476: What is x when 12*(4^(4x-2))=35
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Question 583860: How do you simplify: log100^4x
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Question 584061: log(x-2)+log(x+2)-.5 log(x^2+4) how to rewrite this logarithm in single form?
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Question 584061: log(x-2)+log(x+2)-.5 log(x^2+4) how to rewrite this logarithm in single form?
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Question 584138: Evaluate without using logarithm tables: Log81(1/27).
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Question 584131: I'm so confused, is there anyone that can help.
Solve: 5^2x-5∙5^x+6=0

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Question 584066: .5[ln(x-4)+5ln(x^2+4)] in single logarithm form?
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Question 584450: log(6)x+log(6)(x+16)=2
I dont know how to solve this, and im supposed to check for extraneous solutions

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Question 584722: find the value(s) of x if 2log3x = log3 (x+6)
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Question 584718: Solve 4^x = 0.5
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Question 584741: how to get the solution of this equation. 2^2x+2^x-1=0
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Question 584768: what is the answer to log 3z equal 2 ?
what is the answer to ln x equal 2 ?
whats the answer to 3 ln 5x equal 10 ?
whats the answer to ln square root x-8 equal 5 ?

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Question 584826: Solve 2^6x+5=31 I need to know the step by step instructions as everything I do seems to be wrong. I need help on this ASAP. Thanks This need to go to 4 decimal places
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Question 584888: Evaluate the expression.
log6 square root 216

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Question 584720: change ln48 to base 10 and hence evaluate.
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Question 585077: lnx-3ln3=3
ln3x=6
lne^2/2
ln(2x-1)=0
I just don't understand how to work these out. I'd appreciate you help.

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Question 585147: 2=(1+x)^7, find X
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Question 585290: How to find value of log(0.130)/(0.0001)^2
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Question 585261: (Solving Natural Logarithms to solve Exponential Equations)Give an exact answer and then an answer rounded to the nearest thousandth.
Problem:
3^x-1=4^2x+3

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Question 585346: What properties do you need to use to write expression as a single logarithm?
base is 6.
log6 16- log6 4

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Question 585350: How do you expand the logarithm?
base is 7.
log7 23/4

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Question 585342: how do you solve this:
base is 10.
log(6x-2)=3

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Question 585353: how do you write the expression as a single logarithm?
base is 3.
log3 24 +log3 2

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Question 585351: how do you expand the logarithm?
base is 2.
log2 32x^3

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Question 585345: how do you solve?
27^4x=9

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Question 585345: how do you solve?
27^4x=9

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Question 585347: What properties do you need to use to write expression as a single logarithm?
base is 2.
2log2 3 + log2 4

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Question 585378: $2,350 is invested in account paying 9% compounded semiannually. How much will the account be worth after 8 years? Show your work.
thankyou

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Question 585376: Write the expression as a single log. Simplify.
1/2log9+3log2-2log(5x)

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Question 585462: The population of fish in a lake is decreasing. There are currently 24,000 fish in the lake. The population is decreasing 6% each year. In how many years will there be 1/4 of the current number of the fish in the lake? Use formula T(n)=a(1+r)^n to solve problem?
-please someone help.

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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025