What is the answer to ln(x+63)-ln(3-2x)=6ln(2) ?

The answer to ln(x+63)-ln(3-2x)=6ln(2) is x=1

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ln(x+63)-ln(3-2x)=6ln(2)

ln (x + 63) - ln (3 - 2 x) = 6 ln (2)

x = 1

Solution steps

ln (x + 63) - ln (3 - 2 x) = 6 ln (2)

Add

ln (3 - 2 x)

to both sides

ln (x + 63) - ln (3 - 2 x) + ln (3 - 2 x) = 6 ln (2) + ln (3 - 2 x)

Simplify

ln (x + 63) = 6 ln (2) + ln (3 - 2 x)

Apply log rules

x + 63 = 64 (3 - 2 x)

Solve

x + 63 = 64 (3 - 2 x) : x = 1

x = 1

Verify Solutions:

x = 1

True

The solution is

x = 1

64 n lo g_{10} (n) = 8 n^{2}

ln (x) + x - 3 = 0

ln (x) = 2.7

6.2 = 1 + lo g_{10} (x)

y, x = ln (y) + 1

What is the answer to ln(x+63)-ln(3-2x)=6ln(2) ?
The answer to ln(x+63)-ln(3-2x)=6ln(2) is x=1
Solve for x: ln(x+63)-ln(3-2x)=6ln(2)
The solution is x=1