What is the answer to ln(x)=ln(5)+ln(x-1) ?

The answer to ln(x)=ln(5)+ln(x-1) is x= 5/4

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ln(x)=ln(5)+ln(x-1)

ln (x) = ln (5) + ln (x - 1)

x = \frac{5}{4}

Decimal Notation

x = 1.25

Solution steps

ln (x) = ln (5) + ln (x - 1)

Apply log rules

x = 5 (x - 1)

Solve

x = 5 (x - 1) : x = \frac{5}{4}

x = \frac{5}{4}

Verify Solutions:

x = \frac{5}{4}

True

The solution is

x = \frac{5}{4}

lo g_{4} (\frac{3 - x}{7}) = 1

8 lo g_{9} (2) = lo g_{9} (x)

lo g_{10} (x^{2} - 3 x - 10) = 2

- lo g_{10} (x) = 4.5

lo g_{7} (X - 2) + lo g_{7} (X + 2) = 1

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