What is the answer to 7+log_{4}(-5x)=9 ?

The answer to 7+log_{4}(-5x)=9 is x=-16/5

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7+log_{4}(-5x)=9

7 + lo g_{4} (- 5 x) = 9

x = - \frac{16}{5}

Decimal Notation

x = - 3.2

Solution steps

7 + lo g_{4} (- 5 x) = 9

Move

7

to the right side

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

Apply log rules

- 5 x = 16

Solve

- 5 x = 16 : x = - \frac{16}{5}

x = - \frac{16}{5}

Verify Solutions:

x = - \frac{16}{5}

True

The solution is

x = - \frac{16}{5}

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

0.42 = lo g_{10} (x)

ln (2^{x}) + ln (e^{x}) = 3

2 lo g_{3} (x + 1) = 4

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

What is the answer to 7+log_{4}(-5x)=9 ?
The answer to 7+log_{4}(-5x)=9 is x=-16/5
Solve for x: 7+log_{4}(-5x)=9
The solution is x=-16/5