SOLUTION: evaluate to the nearest hundredth: {{{ log( 3, 81 ) }}}+{{{ log( 4, 256 ) }}}/{{{ log( 2, 64 ) }}}

Algebra ->  Trigonometry-basics -> SOLUTION: evaluate to the nearest hundredth: {{{ log( 3, 81 ) }}}+{{{ log( 4, 256 ) }}}/{{{ log( 2, 64 ) }}}      Log On


   

Question 448724: evaluate to the nearest hundredth: +log%28+3%2C+81+%29+++log%28+4%2C+256+%29+/+log%28+2%2C+64+%29+
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
log3(81)+log4(256)/log2(64)
Using definition of logarithm: Base raised to the logarithm of the number is equal to the number.
3^x=81
x=4
4^x=256
x=4
2^x=64
x=6
log3(81)+log4(256)/log2(64)
=4+4/6=14/3
ans: 4.67