Question 975291
log 27 base 3+log 64 base 4 or
<pre>
log<sub>3</sub>27 + log<sub>3</sub>64 

log 27 base 3

That means the exponent (power) to which you must raise 3 to get 27.
Since we must raise 3 to the 3rd power to get 27, then: 

log 27 base 3 which is written log<sub>3</sub>27 = 3 because 3<sup>3</sup> = 27.  

So

log 64 base 4

That means the exponent (power) to which you must raise 4 to get 64.
Since we must raise 4 to the 3rd power to get 64, then:  

log 64 base 3 which is written log<sub>3</sub>64 = 3 because 4<sup>3</sup> = 64.

So answer = log<sub>3</sub>27 + log<sub>3</sub>64 = 3+3 = 6.

Edwin</pre>