What is the answer to log_{4}(x+5)=log_{4}(7x-5) ?

The answer to log_{4}(x+5)=log_{4}(7x-5) is x= 5/3

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log_{4}(x+5)=log_{4}(7x-5)

lo g_{4} (x + 5) = lo g_{4} (7 x - 5)

x = \frac{5}{3}

Decimal Notation

x = 1.66666 \dots

Solution steps

lo g_{4} (x + 5) = lo g_{4} (7 x - 5)

Apply log rules

x + 5 = 7 x - 5

Solve

x + 5 = 7 x - 5 : x = \frac{5}{3}

x = \frac{5}{3}

Verify Solutions:

x = \frac{5}{3}

True

The solution is

x = \frac{5}{3}

lo g_{3} (x - 10) = 0

- lo g_{10} (x) = 8.44

ln (- 4 x - x) + ln (3) = ln (2 - x)

x, ln (3 x - 18) = 6

ln (6 x) + ln (6) = ln (3 x + 6)

What is the answer to log_{4}(x+5)=log_{4}(7x-5) ?
The answer to log_{4}(x+5)=log_{4}(7x-5) is x= 5/3
Solve for x: log_{4}(x+5)=log_{4}(7x-5)
The solution is x= 5/3