Solutions of Exponential Equations | math4u.vsb.cz

Submitted by michaela.bailova on Tue, 02/06/2024 - 15:13

Project ID:

7200020051

Accepted:

SubArea:

Exponential equations and inequalities

Type:

Layout:

Question:

Match the exponential equation to its solution.

Questions Title:

Equations:

Answers Title:

Solutions:

Question 1:

{(\frac{2}{5})}^{x} = 6.25

Answer 1:

x = - 2

Question 2:

{(\frac{3}{2})}^{x} = 2.25

Answer 2:

x = 2

Question 3:

{(\frac{5}{2})}^{- 2 x} = 0.16

Answer 3:

x = 1

Question 4:

{(1.5)}^{x - 1} = {(\frac{8}{27})}^{x + 1}

Answer 4:

x = - \frac{1}{2}

Question 5:

{(2.5)}^{4 - x} = {(\frac{4}{25})}^{x + 1}

Answer 5:

x = - 6

Question 6:

{(0.75)}^{x - 7} = {(\frac{16}{9})}^{x - 4}

Answer 6:

x = 5

Question 7:

{(0.6)}^{x + 3} = {(\frac{25}{9})}^{7 - x}

Answer 7:

x = 17

Question 8:

{(0.5)}^{- x + 2} = 16

Answer 8:

x = 6