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10^{t+1}=50
Use the rules of exponents and logarithms to solve the equation.
\log(10^{t+1})=\log(50)
Take the logarithm of both sides of the equation.
\left(t+1\right)\log(10)=\log(50)
The logarithm of a number raised to a power is the power times the logarithm of the number.
t=\log(50)-1
Subtract 1 from both sides of the equation.