Posted by **Dee** on Sunday, November 17, 2013 at 3:15pm.

Solve the exponential equation using logarithms. Give the answer in decimal form, rounding to four decimal places. (Enter your answers as a comma-separated list.)

4x − 3 = 32x

x = _____

- college algebra -
**Steve**, Sunday, November 17, 2013 at 4:27pm
I assume you meant

4^(x-3) = 32^x

Since 4=2^2 and 32=2^5, we have

2^(2x-6) = 2^(5x)

2x-6 = 5x

3x = -6

x = -2

Check: 4^(-5) = 2^-10

32^(-2) = 2^-10

- college algebra -
**Dee**, Monday, November 18, 2013 at 7:37pm
no it looks more like this:

4^(x-3)=3^2x

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