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Solve for x 3^x=5

Problem

3=5

Solution

  1. Apply the logarithm to both sides of the equation to isolate the variable x You can use the natural logarithm ln()

ln(3)=ln(5)

  1. Use the power rule for logarithms, which states that ln(ab)=b*ln(a) to move the exponent x to the front.

x*ln(3)=ln(5)

  1. Divide both sides by ln(3) to solve for x

x=ln(5)/ln(3)

Final Answer

x=ln(5)/ln(3)


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