Question

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

Answer 1

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

Answer 2

Answer:

$a)log_{6}1,296=4$

Step-by-step 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:

$log_{(base)}(argument)=exponent$

$log_{6}1,296=4$