What is the value of x in the exponential equation 9 + e2x-4 = 10?
Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
Correct Answer: Option A
Explanation:
To solve the exponential equation \( 9 + e^{2x - 4} = 10 \), follow these steps:
1. Isolate the exponential term:
\[ e^{2x - 4} = 10 - 9 \]
\[ e^{2x - 4} = 1 \]
2. Recognize that \( e^0 = 1 \), so:
\[ 2x - 4 = 0 \]
3. Solve for \( x \):
\[ 2x - 4 = 0 \]
\[ 2x = 4 \]
\[ x = 2 \]
So, the value of \( x \) is:
A. 2
To solve the exponential equation \( 9 + e^{2x - 4} = 10 \), follow these steps:
1. Isolate the exponential term:
\[ e^{2x - 4} = 10 - 9 \]
\[ e^{2x - 4} = 1 \]
2. Recognize that \( e^0 = 1 \), so:
\[ 2x - 4 = 0 \]
3. Solve for \( x \):
\[ 2x - 4 = 0 \]
\[ 2x = 4 \]
\[ x = 2 \]
So, the value of \( x \) is:
A. 2