Question

Rewrite the equation in logarithmic form: 2³= 8

Answer 1

3 log 2 = log 8

Explanation:

Take the log of both sides of the given equation 2^3 = 8:

log 2^3 = log 8, which simplifies to 3 log 2 = log 8.

This is equivalent to the given 2^3 = 8.

Instead of the common log, you could also use the natural log, "ln."

Alternatively, use the base-2 log:

2^3 = 8

Taking the base-2 log of both sides, we get 3 = log-2 of 8 = 3

Answer 2

Explanation: The base of the power in the original equation becomes the base of the log. So we have
`^(log)2`. Next, the exponent in the original equation goes on the other side of the equation and finally, the result in the original equation goes inside the log.

So we have
`^(log) 2`
`8` =
`3` which is 2³ = 8 written in logarithmic form.