Which logarithmic equation is equivalent to the exponential equation below?

e5x = 6

A. ln 5x = 6
B. ln 6 = 5x
C. log 5x = 6
D. log 6 = 5x

Option B: is the correct answer.

Explanation:

The exponential equation is

If , then

Thus, the equation becomes

Applying log rule, and thus the equation becomes

Since, we know that, , using this we get,

Hence, the logarithmic equation which is equivalent to the exponential equation is

Thus, Option B is the correct answer.

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

$4034.40

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40