Math  /  Algebra

QuestionFor what value of x\boldsymbol{x} is the following true? Give your answer as an integer or a fully reduced fraction. log(x+11)=logx+log14\log (x+11)=\log x+\log 14
Your answer is: x=\boldsymbol{x}= \square

Studdy Solution
Solve for x x by isolating x x on one side of the equation. First, subtract x x from both sides:
x+11=14xx + 11 = 14x
11=14xx11 = 14x - x
11=13x11 = 13x
Now, divide both sides by 13 to solve for x x :
x=1113x = \frac{11}{13}
The value of x x is:
1113\boxed{\frac{11}{13}}

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