Question

2⋅5^x+3=6250

Exponents and radicals
ANSWERED
asked 2020-12-16
\(\displaystyle{2}⋅{5}^{{x}}+{3}={6250}\)

Answers (1)

2020-12-17

Divide both sides by 2: \(\displaystyle{5}^{{x}}+{3}={3125}\)
Write the right side using base \(\displaystyle{5}.{3125}={5}^{{5}}\) so: \(\displaystyle{5}{x}+{3}={5}^{{5}}\)
Equate exponents: \(x+3=5\)
Subtract 3 from both sides: \(x=2\)

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