Solve 10^6x = 93. Round to the nearest ten-thousandth.

Now the rounding part is not a problem. I tried solving this, but I never got one of the answer choices, which are
A) 11.8109
B) 1.0986
C) 13.3801
D) 0.3281
Here's my logarithm: log10 of 93^6 = x

Question

Solve 10^6x = 93. Round to the nearest ten-thousandth. 

Now the rounding part is not a problem. I tried solving this, but I never got one of the answer choices, which are
A) 11.8109
B) 1.0986
C) 13.3801
D) 0.3281
Here's my logarithm: log10 of 93^6 = x

mathmale · Answer

$$10^{6x}=93$$
Take either ln or log of both sides:

$$\ln(10^{6x})=(\ln 93)\rightarrow 6x*\ln(10)=\ln 93.$$

mathmale · Answer

You'll need to evaluate those two logarithms.  Now solve first for 6x, and then solve the resulting equation for x.

mathmale · Answer

this should lead you to the correct result.

anonymous · Answer

So the answer should be 0.3281?

mathmale · Answer

Perfect.  Nice work!