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2log4(2x-3)=4

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Kevin C. | Successful Math Tutor -- Recently retired high school math teacherSuccessful Math Tutor -- Recently retire...
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Another approach:  2log4(2x-3)=4.  Divide by 2: log4(2x-3)=2.
 
Write in exponential form:  log4(2x-3)=2  becomes 42=2x-3.
 
solve:  2x-3=16.
 
Kevin
Philip P. | Effective and Affordable Math TutorEffective and Affordable Math Tutor
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2log4(2x-3)=4
 
log4(2x-3) = 2            [Divided both sides by 2]
 
4log4(2x-3) = 42          [Raised everything as exponents to 4]
 
2x-3 = 16                   [ 4log4a = a, 42=16]
 
Solve for x