what is the solution to the equation below log5(2x-3)=2

Answer:
14
Step-by-step explanation:
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The solution to the equation [tex]\log_5(2x - 3) = 2[/tex] is x = 14
The equation is given as:
[tex]\log_5(2x - 3) = 2[/tex]
Convert the equation to an exponential equation
2x - 3 = 5^2
Evaluate the exponent
2x - 3 = 25
Add 3 to both sides
2x = 28
Divide both sides by 2
x = 14
Hence, the solution to the equation [tex]\log_5(2x - 3) = 2[/tex] is x = 14
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