Solve for x 6^(5x)=3000

Problem

6(5*x)=3000

Solution

1. Apply the logarithm to both sides of the equation to isolate the exponent. We will use the natural logarithm ln()

ln(6(5*x))=ln(3000)

2. Use the power rule of logarithms, which states that ln(ab)=b*ln(a) to bring the exponent down.

5*x*ln(6)=ln(3000)

3. Isolate the variable x by dividing both sides of the equation by 5*ln(6)

x=ln(3000)/(5*ln(6))

4. Approximate the value using a calculator if a decimal representation is required.

x≈0.8934

Final Answer

x=ln(3000)/(5*ln(6))

Want more problems? Check here!