Question

5 evaluate each expression:
a) $2^{\log_{2}8} = $
b) $7^{\log_{7}27} = $
c) $x^{\log_{x}35} = $

Explanation:

Step1: Apply logarithm power identity

Recall the identity $a^{\log_a b} = b$ (for $a>0, a
eq1, b>0$).
For part A: $2^{\log_2 8}$ matches the identity, so it equals 8.

Step2: Apply the same identity to B

For part B: $7^{\log_7 27}$ follows $a^{\log_a b}=b$, so it equals 27.

Step3: Apply the identity to C

For part C: $x^{\log_x 35}$ uses the same identity, so it equals 35.

Answer:

A) 8
B) 27
C) 35