Solve for x 10^x=7

Problem

10=7

Solution

1. Apply the logarithm to both sides of the equation. Since the base of the exponential is 10 use the common logarithm (log_10)() (often written as (log_)().

(log_)(10)=(log_)(7)

2. Use the power property of logarithms, which states that (log_)(by)=y*(log_)(b) to move the variable x to the front.

x*(log_)(10)=(log_)(7)

3. Simplify the expression by recognizing that (log_)(10)=1

x(1)=(log_)(7)

4. Isolate the variable to find the exact value of x

x=(log_)(7)

Final Answer

x=(log_)(7)

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