What is the answer to (625^{c-3})/(125)=5^4 ?

The answer to (625^{c-3})/(125)=5^4 is c= 19/4

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(625^{c-3})/(125)=5^4

\frac{62 5 ^{c - 3}}{125} = 5^{4}

c = \frac{19}{4}

Decimal Notation

c = 4.75

Solution steps

\frac{62 5 ^{c - 3}}{125} = 5^{4}

Multiply both sides by

125

\frac{62 5 ^{c - 3}}{125} \cdot 125 = 5^{4} \cdot 125

Simplify

62 5^{c - 3} = 78125

Apply exponent rules

4 (c - 3) = 7

Solve

4 (c - 3) = 7 : c = \frac{19}{4}

c = \frac{19}{4}

100 = 1 0^{x}

3^{x} = - 27

e^{x} = \frac{1}{4}

8^{x + 1} = 10

ln (e^{- 2 x}) = 8

What is the answer to (625^{c-3})/(125)=5^4 ?
The answer to (625^{c-3})/(125)=5^4 is c= 19/4
Solve for c: (625^{c-3})/(125)=5^4
The solution is c= 19/4