# Exponential Expression Equations Worksheets

How to Find the Value of Variables in Exponents - Here, the question is (20/12)7x - 5(power) that = to (36/100) x - 1(power). What will be the powers of fraction numbers in the bracket? It will be 4 so, the value becomes (5/3) 7x - 5(power)= (9/25) x-1(power). Repeat the process for R.H.S that will be (3/5)2 (power). However, you solve the brackets. Their external powers will be the same. Now, you will use the fact of the exponent. When we have two exponents, we will multiply them. When there is no value at per side, you will suppose 1 there. The value become (5/3) 7x-5(power) = (3/5)2x-2(power). Apply the exponent formula (x/y) = (y/x)-1(power) for R.H.S. The value become (5/3)7x-5(power) = {(5/3)-1(power)}2x-2(power). Again, multiply powers, the value become (5/3) 7x - 5(power) = (5/3) -2x + 2(power). You have to solve this by solving signs (-x- = + and + x + = + and -x + = -. When the bases are same, we will add the exponents. The value become (5/3)7x-5 = -2x+2 (power). Now, we will play with powers only. We will combine powers one side, and their signs will change like -2 becomes +2 when you will shift it to L.H.S. The value becomes 7x + 2x and the same process you will apply for R.H.S. The value will be 7x+2x = +2+5. Then, it will be 9x = 7. The final answer will be x(variable) = 7/9 or x = 7/9.

• ### Basic Lesson

Guides students solving equations that involve an Exponential Expression Equations. Demonstrates answer checking. An exponential equation in which each side can be expressed in terms of the same base can be solved using the property: if bx = by, then x = y [where b > 0 and b ≠ 1].

• ### Intermediate Lesson

Demonstrates how to solve more difficult problems. The natural logarithm function is ln, and the natural exponential function, ex, are inverse functions. Proceed using ln to quickly solve. ln e4x + 3 = ln30 Be sure to carry enough decimal values to allow you to round to thousandths (in this case) for the final answer.

• ### Independent Practice 1

A really great activity for allowing students to understand the concept of Exponential Expression Equations.

• ### Independent Practice 2

Students find the Exponential Expression Equations in assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with problems to achieve the concepts of Exponential Expression Equations.

• ### Skill Quiz

This tests the students ability to evaluate Exponential Expression Equations.