The solution of the following question x = 45
Step-by-step explanation:
[tex]log _{4} (3x -7)}[/tex] - [tex]log_{4} 2[/tex] = 3
or, [tex]log_{4} \frac{3x-7}{2}[/tex] = 3 [ we know that, [tex]log_{10}a - log_{10}b = log_{10\frac{a}{b} }[/tex]]
or, [tex]\frac{3x-7}{2}[/tex] = [tex]4^{3}[/tex]
or, [tex]\frac{3x-7}{2}[/tex] = 64
or, 3x -7 = 64 X 2
or, 3x = 128 + 7
or, 3x = 135
or, x = 135/3
=45
Here is the answer.
