Question

3ˣ= 45 и 3ᵇ= 5, тогда х-b = 1) -2 2) 2 3) 3 4) 5 5) 9

Answer 1

$2 + log_{3}(5) - log_{3}(5) = 2$

2)

Answer 2

To find the value of (x - b), we need to solve the two equations given:

1. 3ˣ = 45
2. 3ᵇ = 5

Let's first solve for x in the first equation:

1. 3ˣ = 45

To find x, we can take the logarithm of both sides with base 3:

log₃(3ˣ) = log₃(45)

By the logarithm property, we can bring down the exponent:

x = log₃(45)

Now, calculate the value of x using a calculator:

x ≈ 3.178

Next, let's solve for b in the second equation:

2. 3ᵇ = 5

Take the logarithm of both sides with base 3:

log₃(3ᵇ) = log₃(5)

Again, bring down the exponent:

b = log₃(5)

Calculate the value of b using a calculator:

b ≈ 1.465

Now, find the value of (x - b):

(x - b) ≈ 3.178 - 1.465 ≈ 1.713

Rounded to the nearest whole number, (x - b) is approximately 2.

So, the correct answer is 2.