What is the answer to ln(7x+6)-ln(x)=ln(8) ?

The answer to ln(7x+6)-ln(x)=ln(8) is x=6

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ln(7x+6)-ln(x)=ln(8)

ln (7 x + 6) - ln (x) = ln (8)

x = 6

Solution steps

ln (7 x + 6) - ln (x) = ln (8)

Add

ln (x)

to both sides

ln (7 x + 6) - ln (x) + ln (x) = ln (8) + ln (x)

Simplify

ln (7 x + 6) = ln (8) + ln (x)

Apply log rules

7 x + 6 = 8 x

Solve

7 x + 6 = 8 x : x = 6

x = 6

Verify Solutions:

x = 6

True

The solution is

x = 6

lo g_{2} (x - 1) + lo g_{2} (x + 3) = 5

lo g_{2} (2 x) - lo g_{2} (x + 1) = 0

lo g_{10} (x + 1) - lo g_{10} (x - 1) = 1

(lo g_{2} (x))^{2} + 2 \cdot lo g_{2} (x) - 2 = 0

(lo g_{10} (10 x)) 2 - 4 lo g_{10} (10 x) - 5 = 0

What is the answer to ln(7x+6)-ln(x)=ln(8) ?
The answer to ln(7x+6)-ln(x)=ln(8) is x=6
Solve for x: ln(7x+6)-ln(x)=ln(8)
The solution is x=6