Question 188314
how do you solve {{{3^x=8}}}
<pre><font size = 4 color = "indigo"><b>
{{{3^x=8}}}

Take the log of both sides of the equation

{{{log(3^x)=log(8)}}}

Use this log rule on the left side:  {{{log(B^A)=A*log(B)}}}

{{{x*log(3)=log(8)}}}

Divide both sides by {{{log(3)}}}

{{{x=log(8)/log(3)}}}

Now you get your calculator and punch in those logs and
divide them out:

{{{x=.903089987/.4771212547}}}

{{{x=1.892789261}}}

Edwin</pre>