Question

Rewrite the expression 2⁷ = 128 in logarithmic form.

a) log₂ 128 = 7
b) log₁₂₈ 2 = 7
c) log₂ 7 = 128
d) log₁₂₈ 7 = 2

Answer 1

The expression 2⁷ = 128 can be rewritten in logarithmic form as log₂ 128 = 7.

Step-by-step explanation:

The expression 2⁷ = 128 can be rewritten in logarithmic form as log₂ 128 = 7.

The logarithm of a number to a certain base is the exponent to which the base must be raised to obtain that number. In this case, the base is 2 and the number is 128, so we write log₂ 128 = 7.

This means that 2 raised to the power of 7 is equal to 128.