What is the answer to log_{10}(x+15)=log_{10}(x)+log_{10}(15) ?

The answer to log_{10}(x+15)=log_{10}(x)+log_{10}(15) is x= 15/14

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log_{10}(x+15)=log_{10}(x)+log_{10}(15)

lo g_{10} (x + 15) = lo g_{10} (x) + lo g_{10} (15)

x = \frac{15}{14}

Decimal

x = 1.07142 \dots

Solution steps

lo g_{10} (x + 15) = lo g_{10} (x) + lo g_{10} (15)

Apply log rules

x + 15 = x \cdot 15

Solve

x + 15 = x \cdot 15 : x = \frac{15}{14}

x = \frac{15}{14}

Verify Solutions:

x = \frac{15}{14}

True

The solution is

x = \frac{15}{14}

ln (3 x) + ln (2 x) = 3

lo g_{9} (- x) = 5

338 = 125 lo g_{10} (0.8 x) + 83

lo g_{10} (x - 4) = 3

lo g_{5} (x - 7) = 2

What is the answer to log_{10}(x+15)=log_{10}(x)+log_{10}(15) ?
The answer to log_{10}(x+15)=log_{10}(x)+log_{10}(15) is x= 15/14
Solve for x: log_{10}(x+15)=log_{10}(x)+log_{10}(15)
The solution is x= 15/14