Question

Given the exponential equation 3x = 27, what is the logarithmic form of the equation in base 10?

Answer 1

The correct answer is letter B or the second option

Answer 2

Answer:

The exponential equation is in form of x= log base 10 of 27, all over log base 10 of 3

$x=\dfrac{\log_{10}27}{\log_{10}3}$

B is correct

Step-by-step explanation:

Given: Exponential equation 3ˣ = 27

We need to write in logarithmic form with base 10

$3^x=27$

First we will apply log both sides with base 10

$\log_{10}3^x=\log_{10}27$

$x\log_{10}3=\log_{10}27$                   $\because \log a^m=m\log a$    

Now, we will divide by $\log_{10}3$ both sides

$x=\dfrac{\log_{10}27}{\log_{10}3}$

Hence, The exponential equation is in form of x= log base 10 of 27, all over log base 10 of 3