SOLUTION: I understand that when you are trying to solve for x when it is an exponent, you want to get the same base; however, I don't understand these two questions as I cannot seem to get

Question 731006: I understand that when you are trying to solve for x when it is an exponent, you want to get the same base; however, I don't understand these two questions as I cannot seem to get the same base.. Thank you!
1. 2^-2x = 15
2. 5(10^x) = 180
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Number 1 question is ambiguous.

Number 2 question may be solved this way:

, and you can find this on a calculator or in table of common logarithms.

If you wanted, you can take the log of 36 this way:

=
and again, you can find log of 6 by table of logs or calculator and perform your arithmetic.
RELATED QUESTIONS
I need Help trying to solve the following question X^(1/3)* (X^2). I know the answer... (answered by checkley77)

We are trying to solve the following problem: {{{2^x=5^(x+1)}}} I understand that it is (answered by Alan3354)

Hi. I have a question concerning how exponents 'work'. I understand how exponents 'work' (answered by richwmiller,smithsac,richard1234,MathTherapy)

2x+y=-4 x+y=-7 Find the first variable and isolate it. Then solve for that variable.... (answered by Alan3354,Theo,MathTherapy)

Here is an equation i am trying to simplify: 4x^2-3x^2+5x-x^2-1 (where x is a... (answered by jim_thompson5910)

Hello: I am working on a practice test and it would be dishonest of me to ask you the... (answered by chessace)

Hi there, I have a question pertaining to solving exponential equations with common... (answered by richwmiller)

Write an equation of the line containing the given point and parallel to the given line.... (answered by stanbon)

Prove by induction that for all n that are positive natural numbers: (Signma n, i=1) i^3 (answered by richard1234)