SOLUTION: 3log(a)+5log(a)=64

Question 1133622: 3log(a)+5log(a)=64
Found 2 solutions by MathLover1, rothauserc:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

...convert to base

if log same, than

Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
3log(a)+5log(a)=64
:
use logarithm power rule
:
log(a^3) +log(a^5) = 64
:
use logarithm product rule
:
log(a^3 * a^5) = 64
:
log(a^8) = 64
:
use definition of logarithm - assume base 10
:
a^8 = 10^64
:
a = (10^64)^(1/8) = 100,000,000 = 1 * 10^8 = 1E8
:

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