Answer:
x = 68
Step-by-step explanation:
Given equation:
[tex] \rm log_{8}(x - 4) = 2[/tex]
To Find:
Value of x
Solution:
Rewrite the equation in exponential form which is equivalent to b^y = x.
[tex] \implies {8}^{2} = x - 4[/tex]
Now find the value of x.
[tex] \implies \:64 = x - 4[/tex]
Transpose 4 from RHS to LHS, make sure to change its sign from (-) to (+) .
[tex] \implies \: 64 + 4 = x[/tex]
Overturn the equation
[tex] \implies \: x = 68[/tex]
Thus, value of x is 68.
