Assume that x is a positive number. Use the properties of logarithms to write the expression as the logarithm of one quantity.

Question

Assume that x is a positive number. Use the properties of logarithms to write the expression  as the logarithm of one quantity.

Quizplus · Accepted Answer

Using the property of logarithms, we can write the given expression as:

$$e^{11eb80b1_b036_cc85_a291_5794c7ec63fd_TB8633_11} = x$$

Taking the natural logarithm of both sides, we get:

$$\ln(e^{11eb80b1_b036_cc85_a291_5794c7ec63fd_TB8633_11}) = \ln(x)$$

Using the property $\ln(e^y) = y$, we can simplify the left-hand side:

$$11eb80b1_b036_cc85_a291_5794c7ec63fd_TB8633_11 = \ln(x)$$

Therefore, the given expression is equivalent to the logarithm $11eb80b1_b036_cc85_a291_5794c7ec63fd_TB8633_11$ of the quantity $x$. Choice D matches this result.

Assume That X Is a Positive Number