Exponential Equation

**katekate** · September 25th 2009, 02:03 PM

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.

**pickslides** · September 25th 2009, 02:37 PM

$3^{3x+5} = 5$

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

then

$3x+5 = \log_35$

Can you solve it from here?

**katekate** · September 25th 2009, 02:43 PM

Yes, but only with a calculator and converting to decimals. I don't really have the theory down.

**skeeter** · September 25th 2009, 03:35 PM

Originally Posted by katekate

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.