Question

Which of the following is the equation 6^4 = 1,296 written in logarithmic form?

Answer 1

`a)log_(6)1,296=4`

Explanation:

1. First take the given equation and name its terms:

`6^(4)=1,296`

`6:base`

`4:exponent`

`1,296:argument`

2. Then write the general expression to write an exponential equation in logarithmic form:

`log_((base))(argument)=exponent`

3. Finally replace the values in the expression to obtain the logarithmic form:

`log_((base))(argument)=exponent`

`log_(6)1,296=4`

Answer 2

Given
`6^4 = 1,296`

To write in logarithmic form we convert exponential form to logarithmic form

We apply the following rule

`b^x = a` can be written as
`log_b(a) = x`

here b = 6 , x=4 and a = 1296

`6^4 = 1,296` can be written as
`log_6(1,296) = 4`

option A is correct