What is the answer to log_{5}(t^7)=5 ?

The answer to log_{5}(t^7)=5 is t=5^{5/7}

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log_{5}(t^7)=5

lo g_{5} (t^{7}) = 5

t = 5^{\frac{5}{7}}

Decimal Notation

t = 3.15692 \dots

Solution steps

lo g_{5} (t^{7}) = 5

Apply log rules

t = 5^{\frac{5}{7}}

Verify Solutions:

t = 5^{\frac{5}{7}}

True

The solution is

t = 5^{\frac{5}{7}}

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

lo g_{2} (lo g_{3} (x)) = - 1

ln (x) + ln (x + 2) = 1

ln (x) + \frac{1}{2} = ln (x)

lo g_{9} (x) = 2

What is the answer to log_{5}(t^7)=5 ?
The answer to log_{5}(t^7)=5 is t=5^{5/7}
Solve for t: log_{5}(t^7)=5
The solution is t=5^{5/7}