Write the equation in logarithmic form.

Question

Write the equation in logarithmic form.

Answer 1

To write 2^-3 = 1/8, we must first become familiar with the exponential and logarithmic form.

Exponential form: a^b = c

Logarithmic form: log_ac = b

So, we know that 2^-3 = c is in exponential form. To convert it in logarithmic form, we can first identify a as 2, b as -3 and c as 1/8. We can now rewrite it logarithmic form:

log_ac = b

log₂1/8 = -3

Answer 2

y = log_b x is equivalent to x = b^y

log₂(1/8)=-3