What is the answer to ln(x-5)+ln(5x+1)=10 ?

The answer to ln(x-5)+ln(5x+1)=10 is x=(24+sqrt(20e^{10)+676})/(10)

Solve for x: ln(x-5)+ln(5x+1)=10

The solution is x=(24+sqrt(20e^{10)+676})/(10)

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ln (x - 5) + ln (5 x + 1) = 10

x = \frac{24 + 20 e ^{10} + 676}{10}

Decimal Notation

x = 68.82328 \dots

Solution steps

ln (x - 5) + ln (5 x + 1) = 10

Apply log rules

(x - 5) (5 x + 1) = e^{10}

Solve

(x - 5) (5 x + 1) = e^{10} : x = \frac{24 + 20 e ^{10} + 676}{10}, x = \frac{24 - 20 e ^{10} + 676}{10}

x = \frac{24 + 20 e ^{10} + 676}{10}, x = \frac{24 - 20 e ^{10} + 676}{10}

Verify Solutions:

x = \frac{24 + 20 e ^{10} + 676}{10}

True

, x = \frac{24 - 20 e ^{10} + 676}{10}

False

The solution is

x = \frac{24 + 20 e ^{10} + 676}{10}

lo g_{4} (x + 1) + lo g_{4} (x - 1) = 4

lo g_{5} (b) = - 3

lo g_{3} (x + 2) = - 2

lo g_{2} (39 x) - lo g_{2} (x - 5) = 4

2 lo g_{10} (x - 1) = 2 x - 5

What is the answer to ln(x-5)+ln(5x+1)=10 ?
The answer to ln(x-5)+ln(5x+1)=10 is x=(24+sqrt(20e^{10)+676})/(10)
Solve for x: ln(x-5)+ln(5x+1)=10
The solution is x=(24+sqrt(20e^{10)+676})/(10)