Question

Which exponential equation is equivalent to logz7=12?

1) z⁷ = 12
2) z¹² = 7
3) 7ᶻ = 12
4) 12ᶻ = 7

Answer 1

The exponential equation equivalent to
`log_z7=12` is
`z^1^2` = 7.

Step-by-step explanation:

The exponential equation equivalent to
`log_z7=12` is
`z^1^2` = 7.

To solve this equation, we need to remember the logarithmic and exponential properties.

The logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number.

In this case, the logarithm of 7 raised to the power of z is 12.

So, we can rewrite it as
`z^1^2` = 7.