What is the answer to ln(x+63)-ln(5-4x)=6ln(2) ?

The answer to ln(x+63)-ln(5-4x)=6ln(2) is x=1

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ln(x+63)-ln(5-4x)=6ln(2)

ln (x + 63) - ln (5 - 4 x) = 6 ln (2)

x = 1

Solution steps

ln (x + 63) - ln (5 - 4 x) = 6 ln (2)

Add

ln (5 - 4 x)

to both sides

ln (x + 63) - ln (5 - 4 x) + ln (5 - 4 x) = 6 ln (2) + ln (5 - 4 x)

Simplify

ln (x + 63) = 6 ln (2) + ln (5 - 4 x)

Apply log rules

x + 63 = 64 (5 - 4 x)

Solve

x + 63 = 64 (5 - 4 x) : x = 1

x = 1

Verify Solutions:

x = 1

True

The solution is

x = 1

lo g_{81} (x) = \frac{3}{4}

ln (x) + 2 ln (x) = 0

0.24 = ln (x)

lo g_{2} (x + 7) = 0

lo g_{5} (\frac{1}{5 x}) = - 1

What is the answer to ln(x+63)-ln(5-4x)=6ln(2) ?
The answer to ln(x+63)-ln(5-4x)=6ln(2) is x=1
Solve for x: ln(x+63)-ln(5-4x)=6ln(2)
The solution is x=1