What is the answer to log_{7}(32)=5log_{7}(x) ?

The answer to log_{7}(32)=5log_{7}(x) is x=2

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log_{7}(32)=5log_{7}(x)

lo g_{7} (32) = 5 lo g_{7} (x)

x = 2

Solution steps

lo g_{7} (32) = 5 lo g_{7} (x)

Switch sides

5 lo g_{7} (x) = lo g_{7} (32)

Divide both sides by

5

lo g_{7} (x) = \frac{lo g _{7} ( 32 )}{5}

Apply log rules

x = 2

Verify Solutions:

x = 2

True

The solution is

x = 2

ln (x) = 14.4247

lo g_{2} (x) - lo g_{2} (3 x) = 49

ln (x) = 8.495754696

ln (7 x) = ln (10)

lo g_{10} (E) = 22.5

What is the answer to log_{7}(32)=5log_{7}(x) ?
The answer to log_{7}(32)=5log_{7}(x) is x=2
Solve for x: log_{7}(32)=5log_{7}(x)
The solution is x=2