3^(3x+5) = 5

Thgis is precalc review for my calc class... I think I have to take the log of both sides and then the exponent goes out front or something like that but I'm stuck.

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- Sep 25th 2009, 02:03 PMkatekateExponential Equation
3^(3x+5) = 5

Thgis is precalc review for my calc class... I think I have to take the log of both sides and then the exponent goes out front or something like that but I'm stuck. - Sep 25th 2009, 02:37 PMpickslides
$\displaystyle 3^{3x+5} = 5$

using $\displaystyle a^b= c \Rightarrow b = \log_ac$

then

$\displaystyle 3x+5 = \log_35$

Can you solve it from here? - Sep 25th 2009, 02:43 PMkatekate
Yes, but only with a calculator and converting to decimals. I don't really have the theory down.

- Sep 25th 2009, 03:35 PMskeeter
- Sep 25th 2009, 03:53 PMkatekate
yeah but with decimals again if that makes a difference.