You visited us 1 times! Enjoying our articles? Unlock Full Access!

Equations

If 2x -2x -...

Question

If $2^{x} - 2^{x - 1} = 4$ , then $x^{3}$ equals

1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

5

No worries! We‘ve got your back. Try BYJU‘S free classes today!

27

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is C $27$
$2^{x} - 2^{x} - 14$ or $2^{x} (1 - \frac{1}{2}) = 4$
or $\frac{2^{x}}{2} = 4$ or $2^{x} = 2^{3}$ or $x = 3$
$∴ x^{3} = 3^{3} = 27$

Suggest Corrections

Similar questions

I = \int_{2}^{3} \frac{2 x^{5} + x^{4} - 2 x^{3} + 2 x^{2} + 1}{(x^{2} + 1) (x^{4} - 1)} d x

I

\frac{3 x - 1}{4} - \frac{2 x + 5}{3} = \frac{5}{2} - 2 x,

I = \int \frac{x^{3}}{\sqrt{x^{2} + 2 x + 5}} d x = \frac{1}{6} f (x) - \frac{A}{120} g (x) + C

f (x) = (2 x^{2} - 5 x - 36) \sqrt{x^{2} + 2 x + 5}, g (x) = log (x + 1 + \sqrt{x^{2} + 2 x + 5})

\frac{2 x - 1}{(x - 1) (2 x + 3)} = \frac{1}{5 (x - 1)} + \frac{k}{5 (2 x + 3)}

k

1) $\int \frac{x^{3} + 3 x + 4}{\sqrt{x}} d x$

2) $\int \sqrt{x} (3 x^{2} + 2 x + 3) d x$

3) $\int (2 x^{2} - 3 sin x + 5 \sqrt{x}) d x$

4) $\int \frac{{sec}^{2} x}{{csc}^{2} x} d x$

Join BYJU'S Learning Program