SaiBook.us Algebra

Home Course Section

Register Enroll

Step-4

Title: Determine the x value of the exponent

Grade: 6-a Lesson: S3-L8

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Find the value of 'x'	\$25^(3x+3) = 5^(4x-9) \$
2	Formula:	Equating bases on both sides	\$5^(2(3x+3)) = 5^(4x-9) \$
3	Step	On both the sides, bases are equal.so their powers are also eqaul	\$ 2(3x+3) = (4x-9)\$
4	Step	After multiplication we get	6x + 6 = 4x - 9
5	Step	Move variables to the left side and constants to the right side	6x - 4x = -9 - 6
6	Step	After adding we get	2x = -15
7	Step	Move "2" to the denominator on the right side	\$x = -15/2\$
8		Answer	C

Step

Type

Explanation

Answer

Problem

Find the value of 'x'

\$25^(3x+3) = 5^(4x-9) \$

Formula:

Equating bases on both sides

\$5^(2(3x+3)) = 5^(4x-9) \$

Step

On both the sides, bases are equal.so their powers are also eqaul

\$ 2(3x+3) = (4x-9)\$

Step

After multiplication we get

6x + 6 = 4x - 9

Step

Move variables to the left side and constants to the right side

6x - 4x = -9 - 6

Step

After adding we get

2x = -15

Step

Move "2" to the denominator on the right side

\$x = -15/2\$

Answer