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

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Question 864885: Solve each equation for x thus expressing x as a log function of y
a) y = 8.2(1.3)^x
b) y = 6.41(1/2)^x
Can you please help me out ? Thanks so much in advance:)
Click here to see answer by Alan3354(69443)

Question 864884: Solve each equation for x thus expressing x as a log function of y
a) y = 5(2)^x
b) y = 1.3(10)^x
Can you please help me out ? Thanks so much in advance:)
Click here to see answer by Alan3354(69443)

Question 864810: Solve each equation for x thus expressing x as a log function of y
a) y = 6.4(1/2)^x
b) y = 3.5(2.7)^x
c) y = 2.75(2/3)^x
Can you please help me ? Thank you so much in advance:)
Click here to see answer by Alan3354(69443)

Question 864901: Urgent! Please help with this problem. Thank you.
Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expression. Give the exact answer.
2*logBase5 (x+11) = logBase5 (25)+2

Click here to see answer by josgarithmetic(39620)

Question 866063:
Click here to see answer by ankor@dixie-net.com(22740)

Question 866259: 2
2x +17x-9=0 it's 2x squared
Click here to see answer by fcabanski(1391)

Question 866358: What is the solution of the equation 3^2x = 5? Round your answer to the nearest ten-thousandth
Click here to see answer by Fombitz(32388)

Question 867191: Given that 3^-x=5, find the value of 3^3x? Answer=1/125.
I need to see how this is broken down. I'm studying for a test and can't find an example of this problem. Thank you!
Click here to see answer by ewatrrr(24785)

Question 867196: Find the open interval of increase or decrease, asymptotes (if any), growth or decay factor, growth or decay rate as a percentage.
y=12(1.05)^-x
I don't understand how this answer was reached 12(0.9524)^x
Click here to see answer by ewatrrr(24785)

Question 867277: Consider the equation , which gives the percent of light that will pass through x thicknesses of a certain type of tinted glass. (L = lumens per square meter).
1. Suppose a source emits light with an intensity of 1400 lumens per square meter. What is the intensity of the light passing through six thicknesses of the glass?
Click here to see answer by Alan3354(69443)

Question 867303: Solve
a) 5^2x + 5^x - 6 = 0 let y = 5^x
b) 9^x - 5(3^x)+6 = 0 let y = 3^x
Can you please help me out? Thanks so much in advance:)
Click here to see answer by lwsshak3(11628)

Question 867341: The intensity, L1, of light transmitted through a certain type of tinted glass, t, mm thick can be found with the formula , where L0 is the intensity before entering the glass. How thick should the glass be in order to block 30% of the light?
Click here to see answer by jim_thompson5910(35256)

Question 867252: The population of a town in the year 2000 was 250million and the population growth rate is 0.55% per year. Use the population model P(t)=P0(1+r)^t to find the year when the population reaches 350million. Answer is 2061
I can't figure out what numbers to plug into what function to solve this. The only example I have of using this formula isn't finding a year so it's not working.
Click here to see answer by KMST(5328)

Question 867280: An experiment began with 200 of a certain type of bacteria. The bacteria grew exponentially, and 4 hours later there were 18,000.

1. Fit an exponential model to these data.
Click here to see answer by josgarithmetic(39620)

Question 867503: Hi there, I have a question pertaining to solving exponential equations with common bases. I understand the whole when bases are equal the exponents must be equal, but I don't quite get how to solve so the exponents are equal.
For example
3^2x+6 = 3^-3
They have the same bases so all I've got to do is solve:
2x+6 = -3
And it becomes 2X = -9. I don't understand how you get 2x = -9,
, and then x = -9/2.
Click here to see answer by richwmiller(17219)

Question 866073: Hello! I would like to know how to solve for x in this log problem.
log(2x+5) * log(9x^2) = 0
This problem should have 3 solutions: -2, -1/3, +1/3.
Please help me. Thank you! :)
Click here to see answer by richwmiller(17219)

Question 867515: HI I have a question about this equation 4^(6+x)=(1/2)^(7-x).I know the answer to this equation is -19, but I do not know how to get that. Please help me with the steps
Click here to see answer by josgarithmetic(39620)

Question 868026: 1: 2 log7(x+1)=2
2: log3(2x+1)+ log3(x+4)-2
Click here to see answer by ewatrrr(24785)

Question 868356: Write 3 ln a - 1/2(ln b + ln c2) as a single natural logarithm.
Click here to see answer by jim_thompson5910(35256)

Question 868614: A bacteria culture starts with 1,000 bacteria and
doubles in size every 3 hours. Find an exponential model for
the size of the culture as a function of time t in hours and use
the model to predict how many bacteria there will be after
2 days.

Click here to see answer by ewatrrr(24785)

Question 868770: ln x + ln (x+3) = 1
Click here to see answer by Alan3354(69443)

Question 869056: Find the value to the nearest ten-thousandth.
e^-3.42
Click here to see answer by ewatrrr(24785)

Question 869183: I really need help with solving for x in this problem.
(25)^(10x+8)=(1/25)^(4-2x)

Click here to see answer by ewatrrr(24785)

Question 869378: Please help!!
solve the following exponential equation.
2^2+2t + 3(2^t) - 1 = 0
Click here to see answer by Fombitz(32388)

Question 869834: how do you solve log4(x+3)=-2
Click here to see answer by Fombitz(32388)

Question 870147: showing work, find the inverse function of: f(x)=e^(3x)
Click here to see answer by josgarithmetic(39620)

Question 870148: Express in terms of sums and differences of logarithms: log⁡((10 x^2 y^5)/√z)
Click here to see answer by lwsshak3(11628)

Question 870165: log2(x+3)+log2x=2
Click here to see answer by Alan3354(69443)

Question 870163: log2(x+1)=2

Click here to see answer by Alan3354(69443)

Question 870237: Determine the value of an investment in the amount of $5000 that matures in 4 years and pays 4.5% per year compounded as indicated.
How to use the anual formula for compound interest here?
Click here to see answer by lwsshak3(11628)

Question 870432: what is -1/4x^7 minus x^7
Click here to see answer by ewatrrr(24785)

Question 870433: what is -1/4x^7 minus x^7

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Question 870676: Determine the coordinates (x,y) of the turning point of the curve y=x lnx - 2x, and decide if is a maximum or minimum point.
Click here to see answer by htmentor(1343)

Question 871029: I really need help on these two questions /:
Thanks in advance!!!
Picture of the problems can be found here: https://answers.yahoo.com/question/index?qid=20140505210315AAgZFc6
Click here to see answer by josgarithmetic(39620)

Question 871030: I really need help on these two questions /:
Thanks in advance!!!
Picture of the problems can be found here: https://answers.yahoo.com/question/index?qid=20140505210150AAxPnQU
Click here to see answer by mananth(16946)

Question 871288: 10^2x=8
Click here to see answer by ewatrrr(24785)

Question 871393: Evaluate ln e^5
Click here to see answer by josmiceli(19441)

Question 871456: log(4)1
4 base
1 answer
Exponential form: 4^x= 1
Solve= ?

Click here to see answer by lwsshak3(11628)

Question 872013: solve the given equation. state the number and type of roots. x^2 +3x -40 =0
Click here to see answer by Fombitz(32388)

Question 872165: Please help me solve log2x + logx = 2
Click here to see answer by stanbon(75887)

Question 872201: the problem is: (5x)^14(5x)^30 My intial answer was: to add the 14 and 16 and I got 5x^3...however now i am confused about the parentheses
Click here to see answer by josgarithmetic(39620)

Question 872250: 3^(2x)-30=3^x
solve for 'x' with steps
Click here to see answer by Fombitz(32388)

Question 872426: PLEASE HELP!!
5^t-1 � 3^2t = 4^t+3
Click here to see answer by Alan3354(69443)

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