evaluate log base 4 square root +exponent 5 in the corner of the square root, inside of the squae root 64

Answer 1

To evaluate log base 4 of the expression square root + exponent 5 inside the square root of 64, we need to simplify the expression first.

Square root of 64 = 8
Exponent 5 of 8 = 8^5 = 32768

So, the expression becomes log base 4 of square root + 32768 inside the square root of 64.

Next, simplify the square root + 32768 inside the square root of 64:

Square root of 64 = 8
8 + 32768 = 32776

Finally, evaluate log base 4 of 32776:

log4(32776) ≈ 4.13

Therefore, the value of log base 4 of square root + exponent 5 inside the square root of 64 is approximately 4.13.