The solution of the given logarithmic equation is [tex]\frac{38}{7}[/tex].
A logarithmic equation is an equation that involves the logarithm of an expression containing a variable.
log7 + log(x-4) = 1
log(7.x-4) = 1 (log(ab) = log a + log b)
log(7x-28) = 1
7x - 28 = 10 ([tex]log_{a}b = c[/tex] implies [tex]a^c = b[/tex])
7x = 38
x = 38/7
Hence, the answer of the logarithmic equation is 38/7.
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