Solve the equation by using tu basic properties of logarithms log(2x)=3 (picture provided)

Option b

Step-by-step explanation:

According to the property of sum of logarithms we know that

.

In this case we have the equation:

Using the property of sum of logarithms:

We also know that:

    -------- Inverse logarithm

So:

Another easiest way to solve it is the following:

Make .

Then:

 -------- Inverse logarithm property

but . Then:

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²