What is the answer to (log_{10}(2x))/(log_{10)(14)}=1 ?

The answer to (log_{10}(2x))/(log_{10)(14)}=1 is x=7

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(log_{10}(2x))/(log_{10)(14)}=1

\frac{lo g _{10} ( 2 x )}{lo g _{10} ( 14 )} = 1

x = 7

Solution steps

\frac{lo g _{10} ( 2 x )}{lo g _{10} ( 14 )} = 1

Multiply both sides by

lo g_{10} (14)

lo g_{10} (2 x) = lo g_{10} (14)

Apply log rules

2 x = 14

Solve

2 x = 14 : x = 7

x = 7

Verify Solutions:

x = 7

True

The solution is

x = 7

- lo g_{a} (x)

5 = x^{3} lo g_{1} (x)

y, x = - ln (y)

lo g_{10} (5 x - 1) = lo g_{10} (2) + lo g_{10} (7)

0 = a - 2 (ln (x) + 1)

What is the answer to (log_{10}(2x))/(log_{10)(14)}=1 ?
The answer to (log_{10}(2x))/(log_{10)(14)}=1 is x=7
Solve for x: (log_{10}(2x))/(log_{10)(14)}=1
The solution is x=7