Rewrite the exponential equation 100845 7 in equivalent log

Rewrite the exponential equation 10^0.845 = 7 in equivalent logarithmic form. There may be more than one correct answer. 0.845 = log(7) 10 = log(7) 7 = log(0.845) None of the above

Solution

Solution:

In this question exponential form is: 10^0.845= 7

Therefore,

logarithmic form is: 0.845 = log₁₀ 7 which is also written as

0.845 = log (7)

(Correct Answer is option A)

The key to changing from exponential form into logarithmic form is to pay attention to the “base”. In

exponential form10^0.845 = 7, the number 10 in this equation is called the “base”, the same base as in the logarithmic form of the equation, “log base 10”. Notice that the base 10 changes sides, in exponential form the 10 is on the left side of the equal sign, but in logarithmic form the 10 is on the right side of the equal sign. Also

note that the 0.845 and the7 in both the exponential form and the logarithmic form did not change sides. The

only thing that changes sides is the base 10 and the word “log” is added to the logarithmic equation.