SOLUTION: How do you solve the problem Log a (64) = 6. Can you please explain the steps to it also? Thanks

Question 254974: How do you solve the problem Log a (64) = 6. Can you please explain the steps to it also?
Thanks
Found 2 solutions by drk, palanisamy:
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
we are given:

Rewrite the log as an exponent:

A = 2.
Answer by palanisamy(496) (Show Source): You can put this solution on YOUR website!
loga (64) = 6
Taking antilog
64 = a^6
2^6 = a^6
2 = a
a = 2

RELATED QUESTIONS
Can you please explain how to do the following problem and simply the result? log a... (answered by Alan3354)
Solve the following a) log(base 8)(x+9) - log(base 8)(x-1) = 1/3 Can you please... (answered by lwsshak3)
Solve the following a) log(base 10)(4x-1) - log(base 10)(x/5) = 1 Can you please help... (answered by josgarithmetic)
Solve a) log(base 3)x = 3 b) log(base 5)0.04 = x Can you please help me out? Thanks... (answered by lwsshak3)
Solve the following systems of equations: 7x-6y= -11 9x-2y= 3 Also, can you... (answered by nerdybill)
How do you solve: 8-2y=3y-2 thanks(: (can you include the steps to please?) (answered by mathtutor19)
How do you solve this equation: log x + log (x-5) = log 6 Please include the steps. (answered by Alan3354)
1.Write as a difference of logarithms a) log(base 4)11 b) log(base 3)12 c) log(base... (answered by MathLover1)
1. use a calculator to find log(base2)5 Can you please help me out? Thanks so much in... (answered by lwsshak3)