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assignment 6.4: logarithmic equations and inequalitie
score: 10/19 answered: 10/16
question 11
for what value of ( x ) is the following true? give your answer as an integer or a fully( log(x + 13)=log x+log 13 ).
your answer is:
( x = )

Explanation:

Step1: Apply log product rule

$\log(x+13) = \log(13x)$

Step2: Remove log from both sides

$x + 13 = 13x$

Step3: Rearrange terms to isolate $x$

$13 = 13x - x$
$13 = 12x$

Step4: Solve for $x$

$x = \frac{13}{12}$

Answer:

$x = \frac{13}{12}$