Answer:
I presume the problem means
ln (3 x - 7) = 3 where ln generally means log to the base 2 as opposed to
log which generally means log to the base 10
(3 x - 7) = 3^2 expanding using definition of ln x
3 x - 7 = 9
x = 16 / 3
The solution to the logarithmic equation log₂(3x - 7) = 3 is 5
A logarithmic equation is an equation that is represented by the log or ln expression
The logarithmic equation is given as:
log₂(3x - 7) = 3
Apply the change of base rule
3x - 7 = 2^3
Evaluate the exponent
3x - 7 = 8
Add 7 to both sides
3x = 15
Divide by 3
x = 5
Hence, the solution to log₂(3x - 7) = 3 is 5
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