Write each number in terms of natural logarithms, and then use the properties of logarithms to show that it is a
rational number.
log9(√27)

The answer is 3/4

Step-by-step explanation:

Hi, we need to change the base of the logarithm, for that we need to use the following formula.

In our case, this is:

Which is the same as:

Now, let´s solve this using the log properties

We can change 3 for 9^(1/2)

Since Ln(9) / Ln(9) =1, we get.

Best of luck.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

answer: it's d

step-by-step explanation: