Question
For the function \( f(x)=6^{x} \) calculate the following function values: \( f(4)= \) \( f(5)= \)
Ask by Wells Haynes. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( f(4) = 1296 \) and \( f(5) = 7776 \).
Solution
To calculate the values of the function \( f(x) = 6^{x} \) for \( x = 4 \) and \( x = 5 \), follow these steps:
1. **Calculate \( f(4) \):**
\[
f(4) = 6^{4} = 6 \times 6 \times 6 \times 6 = 1296
\]
2. **Calculate \( f(5) \):**
\[
f(5) = 6^{5} = 6 \times 6 \times 6 \times 6 \times 6 = 7776
\]
**Final Results:**
\[
f(4) = 1296
\]
\[
f(5) = 7776
\]
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Simplify this solution Extra Insights
To find the function values of \( f(x) = 6^x \): 1. For \( f(4) \): \[ f(4) = 6^4 = 6 \times 6 \times 6 \times 6 = 1296. \] 2. For \( f(5) \): \[ f(5) = 6^5 = 6 \times 6 \times 6 \times 6 \times 6 = 7776. \] Thus, the values are: \( f(4) = 1296 \) and \( f(5) = 7776 \).
