Question 1005257

log in base 1/3 *(1/27)= x 
What's the solution for x? 
Can you please write also the solution step-by-step?
Thanks in advance 
<pre>If this is what you meant: {{{log (1/3, (1/27)) = x}}}, then read on.
{{{(1/3)^x = 1/27}}} ----------- Converting to EXPONENTIAL form
{{{(3^-1)^x = 3^- 3}}}----- Converting {{{1/3}}}, and {{{1/27}}} to base 3
{{{3^(- x) = 3^ - 3}}} -------- Applying the following law: {{{(a^b)^c}}} = {{{a^(bc)}}}
- x = - 3 ------------- Bases are equal and so are their exponents
{{{x = (- 3)/(- 1)}}}, or {{{highlight_green(x = 3)}}}