Question 812911
Please include the instructions when posting. I can only guess that we are supposed to simplify this expression.<br>
{{{log(3, (3^5))+log(5, (125))}}}
Logarithms are exponents. The first log represents the exponent you would put on 3 to get {{{3^5}}}. Clearly this exponent must be a 5. So the first log is equal to 5:
{{{5 + log(5, (125))}}}
The second log represents the exponent you would put on a 5 to get 125. This one is not as obvious. But if you start exploring powers of 5 you will find that {{{125 = 5^3}}}. So the exponent for 5 that results in 125 is 3:
5 + 3
which simplifies to:
8