Step-by-step explanation:
Step 1: Add (-9)/8 to both sides.
(21/4) ^x + 9/8 = 2
(21/4) ^x + 9/8 + -9/8 = 2 + -9/8
(21/4) ^x = 7/8
Step 2: Solve Exponent.
(21/4) ^x = 7/8
x = log (7/8) by log (21/4)
x=−0.080527
Explanation in words:
The first step is to Add (-9)/8 to both sides of the question. In the end, the answer will result as (21/4) ^x = 7/8.
The second step is to solve the equation by using log. Formula for log is log = x. For base. At the end we solve all the exponents and the answer will end up being x=−0.080527.
Graph: See Attachment
Answer:
x=−0.080527
Hope this helps.
