Solve for x 3- log of x+2=5

Problem

3−(log_)(x+2)=5

Solution

1. Isolate the logarithmic term by subtracting 3 from both sides of the equation.

−(log_)(x+2)=2

2. Multiply both sides by −1 to make the logarithmic term positive.

(log_)(x+2)=−2

3. Convert the logarithmic equation to its equivalent exponential form. Since no base is specified, we assume the common logarithm with base 10.

x+2=10(−2)

4. Evaluate the power of 10 on the right side of the equation.

x+2=0.01

5. Solve for x by subtracting 2 from both sides.

x=0.01−2

x=−1.99

Final Answer

x=−1.99

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