Solve for x log of x+7=1

Problem

(log_)(x+7)=1

Solution

1. Identify the base of the logarithm. Since no base is explicitly written, it is assumed to be the common logarithm with base 10

2. Rewrite the logarithmic equation in its equivalent exponential form using the definition (log_b)(y)=x⇔b^x=y

10^1=x+7

3. Simplify the exponential expression on the left side of the equation.

10=x+7

4. Isolate the variable x by subtracting 7 from both sides of the equation.

x=10−7

5. Calculate the final value for x

x=3

Final Answer

(log_)(x+7)=1⇒x=3

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