Answer:
The exponential equation is in form of x= log base 10 of 27, all over log base 10 of 3
[tex]x=\dfrac{\log_{10}27}{\log_{10}3}[/tex]
B is correct
Step-by-step explanation:
Given: Exponential equation 3ˣ = 27
We need to write in logarithmic form with base 10
[tex]3^x=27[/tex]
First we will apply log both sides with base 10
[tex]\log_{10}3^x=\log_{10}27[/tex]
[tex]x\log_{10}3=\log_{10}27[/tex] [tex]\because \log a^m=m\log a[/tex]
Now, we will divide by [tex]\log_{10}3[/tex] both sides
[tex]x=\dfrac{\log_{10}27}{\log_{10}3}[/tex]
Hence, The exponential equation is in form of x= log base 10 of 27, all over log base 10 of 3
