Given :-
To Find :-
Solution :-
Given logarithmic equation is ,
[tex]\longrightarrow log_7(2x +17) = 2 [/tex]
As we know that ,
[tex]\longrightarrow log_a b = c [/tex]
can be rewritten as ,
[tex]\longrightarrow a^c = b [/tex]
So , that
[tex]\longrightarrow 7^2 = 2x + 17 [/tex]
Simplify ,
[tex]\longrightarrow 49 = 2x + 17 [/tex]
Subtract 17 from both sides ,
[tex]\longrightarrow 2x = 32 [/tex]
Divide both sides by 2 ,
[tex]\longrightarrow x = 16 [/tex]
Hence the required answer is 16 .
