Asked by Finally Some Answers
Select the correct answer to the following equation: 27x^3/4−1=26 .(1 point)
1
25/27
0
3
1
25/27
0
3
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To solve the equation \( 27x^{3/4} - 1 = 26 \), we first add 1 to both sides:
\[
27x^{3/4} = 27
\]
Next, we divide both sides by 27:
\[
x^{3/4} = 1
\]
To isolate \( x \), we raise both sides to the power of \( \frac{4}{3} \):
\[
x = 1^{\frac{4}{3}} = 1
\]
Thus, the solution to the equation is \( x = 1 \).
Therefore, the correct answer is:
\[
\boxed{1}
\]
\[
27x^{3/4} = 27
\]
Next, we divide both sides by 27:
\[
x^{3/4} = 1
\]
To isolate \( x \), we raise both sides to the power of \( \frac{4}{3} \):
\[
x = 1^{\frac{4}{3}} = 1
\]
Thus, the solution to the equation is \( x = 1 \).
Therefore, the correct answer is:
\[
\boxed{1}
\]
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