What is the answer to log_{7}(4x)+3log_{7}(5)=5 ?

The answer to log_{7}(4x)+3log_{7}(5)=5 is x= 16807/500

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log_{7}(4x)+3log_{7}(5)=5

lo g_{7} (4 x) + 3 lo g_{7} (5) = 5

x = \frac{16807}{500}

Decimal Notation

x = 33.614

Solution steps

lo g_{7} (4 x) + 3 lo g_{7} (5) = 5

Move

3 lo g_{7} (5)

to the right side

lo g_{7} (4 x) = 5 - 3 lo g_{7} (5)

Apply log rules

4 x = \frac{16807}{125}

Solve

4 x = \frac{16807}{125} : x = \frac{16807}{500}

x = \frac{16807}{500}

Verify Solutions:

x = \frac{16807}{500}

True

The solution is

x = \frac{16807}{500}

lo g_{4} (x) = \frac{1}{4}

ln (x^{2} + 7 x + 12) - ln (x + 4) = 0

5 lo g_{2} (x) - lo g_{4} (x) = 3

- lo g_{10} (x) = 3.2

x, z = ln (2 x + 4 y)

What is the answer to log_{7}(4x)+3log_{7}(5)=5 ?
The answer to log_{7}(4x)+3log_{7}(5)=5 is x= 16807/500
Solve for x: log_{7}(4x)+3log_{7}(5)=5
The solution is x= 16807/500