Solve for x 3^x=8

Problem

3=8

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(8)

2. Use the power rule for logarithms, which states ln(ab)=b*ln(a) to move the exponent x in front of the logarithm.

x*ln(3)=ln(8)

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

x=ln(8)/ln(3)

4. Simplify the expression if needed by recognizing that 8=2 though the change of base form is often sufficient.

x=(log_3)(8)

Final Answer

x=ln(8)/ln(3)

Want more problems? Check here!