What is the simplified base for the function f(x) = 2?

Asked by maham237 @ 22/12/2020 in Mathematics viewed by 331 People

What is the simplified base for the function f(x) = 2(3√27(2x)?

2
3
9
18

Answered by maham237 @ 22/12/2020

Answer:

option C is correct i.e. 9

Step-by-step explanation:

We have given that : $f(x)=2 \sqrt[3]{27^{2x}}$

To find : The simplified base of the function f(x)

Solution:

Now, we solve the equation

$f(x)=2 \sqrt[3]{27^{2x}}$

$f(x)=2(27^x)^{\frac{2}{3}}$

$f(x)=2(3^{2x})$

$f(x)=2((3^2)^{x})$

$f(x)=2(9^{x})$

Therefore, the simplified base of the function f(x) is 9

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