Question

Type the correct answer in the box. Use numerals instead of words. Consider the logarithmic function f(x)=log^10(x) The values of f(50) rounded to the nearest hundredth is____

Answer 1

1.70

Explanation:

Logarithmic functions are the inverses of exponential functions. Hence, exponential functions can be expressed in logarithmic form whereas logarithmic function can be expressed in exponential form. Since log is a function, it is most correctly written as log.

Given that f(x) = log₁₀(x)

To find the value of f(50), we substitute x to be 50 in the logarithm function and solve:

f(50) = log₁₀(50)

f(50) = log₁₀(5 * 10) = log₁₀(5) + log₁₀(10)

f(50) = 1 + log₁₀(5) = 1 + 0.70

f(50) = 1.70