4 x -4 x -4 x -4 x -4 x -4 x -4 x -4 x -1-512 what is the value of -3- x -

4^x + 4^x + 4^x + 4^x + 4^x + 4^x + 4^x + 4^x = 1/512 8 × 4^x = 1/2^9 2 × 4 × 4^x = 2^ 9 4^x+1 = 2^ 10 4^x+1 = 4^ 5 x + 1 = 5 x = 6 3/x = 3/ 6=1/2 ...

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Byju's Answer

Standard IX

Mathematics

Algebraic Identities

4 x +4 x +4 x...

Question

$4^{x} + 4^{x} + 4^{x} + 4^{x} + 4^{x} + 4^{x} + 4^{x} + 4^{x} = \frac{1}{512}$ what is the value of $\frac{- 3}{x}$ ?

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Solution

$4^{x} + 4^{x} + 4^{x} + 4^{x} + 4^{x} + 4^{x} + 4^{x} + 4^{x} = \frac{1}{512}$
$8 \times 4^{x} = \frac{1}{2^{9}}$
$2 \times 4 \times 4^{x} = 2^{- 9}$
$4^{x + 1} = 2^{- 10}$
$4^{x + 1} = 4^{- 5}$
x + 1 =-5
x =-6
$\frac{- 3}{x} = \frac{- 3}{- 6} = \frac{1}{2}$

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4x+4x+4x+4x+4x+4x+4x+4x=1512 what is the value of −3x ?

4x+4x+4x+4x+4x+4x+4x+4x=1512 8×4x=129 2×4×4x=2−9 4x+1=2−10 4x+1=4−5 x + 1 =-5 x =-6 −3x=−3−6=12

$4^{x} + 4^{x} + 4^{x} + 4^{x} + 4^{x} + 4^{x} + 4^{x} + 4^{x} = \frac{1}{512}$ what is the value of $\frac{- 3}{x}$ ?

$4^{x} + 4^{x} + 4^{x} + 4^{x} + 4^{x} + 4^{x} + 4^{x} + 4^{x} = \frac{1}{512}$
$8 \times 4^{x} = \frac{1}{2^{9}}$
$2 \times 4 \times 4^{x} = 2^{- 9}$
$4^{x + 1} = 2^{- 10}$
$4^{x + 1} = 4^{- 5}$
x + 1 =-5
x =-6
$\frac{- 3}{x} = \frac{- 3}{- 6} = \frac{1}{2}$