Question

What’s the value of X in the exponent equation 4^3x+2=64

answer x= 1/3

Answer 1

Explanation:

4^(3x+2) = 64 take LOG of both sides to get

( 3x+2 ) log 4 = log 64

3x + 2 = log 64/log4 = 3

3x+2 = 3

3x = 1

x = 1/3

Here is a second way:

4^(3x+2) = 64

4^(3x+2) = 4^3 ( 64 is equal to 4^3 ) Now equate the exponents:

3x+2 = 3

3x = 1

x = 1/3