Question

Express this equation in logarithmic form.

y = 10x

Answer 1

Logarithmic Form of given Equation is log y = log 10 + log x

Step-by-step explanation:

Given Equation: y = 10x

To find: Equivalent logarithmic equation.

Logarithmic Equation: Equation Having Logarithmic function (log) on one side of equation or on both sides of equation with same base is called logarithmic equation.

Consider,

y = 10x

now take log on both sides,

log y = log 10x

Now using logarithmic laws on RHS , log mn = log m + log n , we get

log y = log 10 + log x

Therefore, Logarithmic Form of given Equation is log y = log 10 + log x

Answer 2

y = 10^x
log y = log 10^x
log y = x log 10