What is the answer to log_{5}(x+3)-log_{5}(x)=1 ?

The answer to log_{5}(x+3)-log_{5}(x)=1 is x= 3/4

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log_{5}(x+3)-log_{5}(x)=1

lo g_{5} (x + 3) - lo g_{5} (x) = 1

x = \frac{3}{4}

Decimal Notation

x = 0.75

Solution steps

lo g_{5} (x + 3) - lo g_{5} (x) = 1

Add

lo g_{5} (x)

to both sides

lo g_{5} (x + 3) - lo g_{5} (x) + lo g_{5} (x) = 1 + lo g_{5} (x)

Simplify

lo g_{5} (x + 3) = 1 + lo g_{5} (x)

Apply log rules

x + 3 = 5 x

Solve

x + 3 = 5 x : x = \frac{3}{4}

x = \frac{3}{4}

Verify Solutions:

x = \frac{3}{4}

True

The solution is

x = \frac{3}{4}

x, 44 f = ln (x^{2} - 2 x)

2 ln (5 x + 8) - 17 = - 5

2 ln (x - 3) = ln (x) - ln (4)

6.021 = 20 lo g_{10} (a)

lo g_{5} (x) - lo g_{25} (x + 6) = 0

What is the answer to log_{5}(x+3)-log_{5}(x)=1 ?
The answer to log_{5}(x+3)-log_{5}(x)=1 is x= 3/4
Solve for x: log_{5}(x+3)-log_{5}(x)=1
The solution is x= 3/4