Evaluate the logarithmic expression with a calculator using the change of base formula. Round the answer to three decimal places when needed.

Question

log₄2 + log₄8

Answer 1

Change of base formula:

log_xa = log₁₀(a)/log₁₀(x)

Therefore,

log₄2 = log₁₀(2)/log₁₀(4)

log₄8=log₁₀(8)/log₁₀(4)

replacing,

log₄2+log₄8 = log₁₀(2)/log₁₀(4) + log₁₀(8)/log₁₀(4)

using calculator:

Ans: 2

Answer 2

log₄2 + log₄8 = log₄16 = 2