Questions on Algebra: Exponent and logarithm as functions of power answered by real tutors!

Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)

Question 321776: If 8^2-x = 4^3x, then x=?
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Question 322022: Find the approximate solution to the equation 3(1.5^x) + 10 = 280
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Question 322245: Solve the equation
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Question 322488: Explain how to solve a logarithmic equation such as Logx = 1
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Question 322957: What is the value of the logarithmic expression 3log[40](10) - 2log[40](5)
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Question 323786: Please help me solve this equation: The directions say: Solve each logarithmic or exponential equation. Thank you for your help!
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Question 323847: a^nx^n + 2a^n + x^n + 2
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Question 323846: 4x^2 + 12xy + 9y^2 - z^2
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Question 323886: 3X^6+24
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Question 323985: Suppose that you have 12 grams of a substance, which decays exponentially and has a half-life of 23 years. How long will it be before there is only 1.5 grams left?
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Question 323981: A certain radioactive substance decays exponentially and has a half-life of 78 years. What fraction of the substance will decay in 234 years?
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Question 324058: A radioactive substance has a half-life of 6.8 hours. If 12.6 kg. remain from the original amount of 20 kg. How many hours have passed?
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Question 324118: Factor these please andsho work so i can understand please:
4x^2-36
y^10n-2y^5n+1

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Question 324099: 10(5e^4)^2
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Question 324094: please help me simplify this problem:
10(5e^4)^2
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Question 324388: what is 5 divided by square root of 5
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Question 324410: How do you simplify log base5 4 + log base5 250?
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Question 324547: 27^x+1=3^2x+1
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Question 324555: 5^2x+1=125^x
My answer
5^2x+1=(5^3)^x
=2x+1+5x
x=1/7
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Question 324617: Suppose that 5 grams of a radioactive substance decreases to 4 grams in 30 seconds. What is its half-life to the nearest tenth of a second?
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Question 324665: how do you solve:
7 1/16 (4) k +1
∑
k=1
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Question 324709: Evaluate. Enter on the sum.
9 3k+4
∑
k=1
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Question 324703: Evaluate. Enter on the sum.
9 3k+4
∑
k=1
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Question 324778: A radioactive substance has a half-life of T hours. If after 4.6 hours, 12.6 kg. remain form an initial amount of 20 kg. What is the half-life to the nearest tenth of an hour?
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Question 324619: A radioactive substance has a half-life of 26 months. If ater 10 months 42 grams remain, aproximate the initial amount to the nearest gram.
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Question 324776: A radioactive substance has a half-life of 26 months. If after 10 months 42 grams remain, approximate the initial amount to the nearest gram.
Click here to see answer by ankor@dixie-net.com(22740)

Question 324952: simplify the expression: y=5^log base 5 (2X-14.3) *all of it is the exponent*
I don't know what to do since the log in is the exponent- I've never seen this before... please help!
Click here to see answer by Fombitz(32388)

Question 324950: I am having a hard time understanding what inverse functions are and how you figure out what the inverse is of a given function. Can someone please explain?!
I'm also trying to solve: What is the formula of the inverse function of y= 4^-2X?
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Question 325045: 1.3 x 10^-12 this is the diameter , how do I determine the radius?
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Question 325174: I need help solving this. I keep getting an answer with negative exponents.
9x^-12
_______
24x^-2
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Question 325825: log4(13x+12) - log4(x-8) = 2
Solve for x.
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Question 326058: Hello, does anyone know if there are any free algebra scientific notation/ exponent solvers that will solve expressions.
Thank you
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Question 326575: solve the problem.
Given log_b5=1.2301 and log_b7=1.4873.
Find
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Question 326675: Can someone please help me work through this question?
f(x)= 5x-2 and g(x)= x^2+x
(f o g)3 = ______
Thank you,
Edgar
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Question 327112: how do i solve for n in the equation: 9 to the n power=729
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Question 327224: 26+2[3-(4-8)2] power
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Question 327300: Graph the function. F(x)= 5^(2x-2)
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Question 327309: where does this function cross the x-axis and describe the end behaviors?
f(x)=(x-1)^3 (x+1)
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Question 327302: y=-log4(x+4) State the equation of the line asymptotic to the graph ( if any).
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Question 327311: evaluate 5th root of 1540 to three decimal places
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Question 327314: solve the equation: 3x^3/4=192
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Question 327315: solve square root of x^2+5 =3-x
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Question 327317: solve the equation 3rd root of x-5=5
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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