Question

If 8 power X+1=64, what is the value of 3 power 2X+1​

Answer 1

Answer:

27

Step-by-step explanation:

8^(X+1)=64

8^(X+1)=8^2

Since bases are equal, Powers are also equal.

X+1=2

X=1

Now,

3^(2X+1)=3^(2(1)+1)

=3^3

=27

I hope this is Correct.

Answer 2

The value of the expression is 27.

Step-by-step explanation:

It has been given that

$8^{x+1}=64$

Take log both sides

$\log(8^{x+1})=\log64$

Apply the log rule $\log x^y=y\log x$

$(x+1)\log8)=\log64$

Divide both sides by log 8

$x+1=\frac{\log64}{\log8}\\\\x+1=\frac{\log8^2}{\log8}\\\\x+1=\frac{2\log8}{\log8}\\\\x+1=2\\\\x=1$

Now, we have to find the value of the expression

$3^{2x+1}$

Substitute x = 1

$3^{2\cdot1+1}\\\\=3^{2+1}\\\\=3^3\\\\=27$

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