Which of these statements is true for f(x)=5*(6)^x?
a. the domain of f(x) is x> 0.
b. the y-intercept is (0,1).
c. it is always decreasing.
d. the y-intercept is (0,5).

step-by-step explanation:

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!