What is the answer to 2log_{10}(7x)+1=4 ?

The answer to 2log_{10}(7x)+1=4 is x=(10sqrt(10))/7

Solve for x: 2log_{10}(7x)+1=4

The solution is x=(10sqrt(10))/7

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2 lo g_{10} (7 x) + 1 = 4

x = \frac{10 10}{7}

Decimal

x = 4.51753 \dots

Solution steps

2 lo g_{10} (7 x) + 1 = 4

Move

1

to the right side

2 lo g_{10} (7 x) = 3

Divide both sides by

2

lo g_{10} (7 x) = \frac{3}{2}

Apply log rules

7 x = 1010

Solve

7 x = 1010 : x = \frac{10 10}{7}

x = \frac{10 10}{7}

Verify Solutions:

x = \frac{10 10}{7}

True

The solution is

x = \frac{10 10}{7}

20 lo g_{10} (x) = - 6.628

lo g_{6} (x^{2} - x) = 1

5 ln (x) = - 10

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

74000 = 335000 \cdot lo g_{2} (m)

What is the answer to 2log_{10}(7x)+1=4 ?
The answer to 2log_{10}(7x)+1=4 is x=(10sqrt(10))/7
Solve for x: 2log_{10}(7x)+1=4
The solution is x=(10sqrt(10))/7