What is the answer to log_{10}(x+14)=log_{10}(x)+log_{10}(14) ?

The answer to log_{10}(x+14)=log_{10}(x)+log_{10}(14) is x= 14/13

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log_{10}(x+14)=log_{10}(x)+log_{10}(14)

lo g_{10} (x + 14) = lo g_{10} (x) + lo g_{10} (14)

x = \frac{14}{13}

Decimal

x = 1.07692 \dots

Solution steps

lo g_{10} (x + 14) = lo g_{10} (x) + lo g_{10} (14)

Apply log rules

x + 14 = x \cdot 14

Solve

x + 14 = x \cdot 14 : x = \frac{14}{13}

x = \frac{14}{13}

Verify Solutions:

x = \frac{14}{13}

True

The solution is

x = \frac{14}{13}

lo g_{10} (8 x) - lo g_{10} (2) = lo g_{10} (16)

8 x ln (x) + 4 x = 0

x, y^{2} = ln (x^{2} + y^{2})

lo g_{8} (5 - x) = lo g_{8} (6)

x, ln (x) = ln (y) + b + a y

What is the answer to log_{10}(x+14)=log_{10}(x)+log_{10}(14) ?
The answer to log_{10}(x+14)=log_{10}(x)+log_{10}(14) is x= 14/13
Solve for x: log_{10}(x+14)=log_{10}(x)+log_{10}(14)
The solution is x= 14/13