If 9x-2 - 240 - 9x- then x - 0-20-40-10-5

The correct option is D 0.5 9^x+2 = 240 + 9^x⇒ 9^x+2 9^x = 240 ⇒ 9^x9^2 9^x = 240 ⇒ 9^x (9^2 1)=240 ⇒ 9^x(81 1) = 240 ⇒ 9^x× 80 = 240 ⇒ 9^x = 240/80=3⇒(3^2)^ ...

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

Byju's Answer

Standard IX

Mathematics

Laws of Exponents for Real Numbers

If 9x+2 = 240...

Question

If $9^{x + 2} = 240 + 9^{x}$ , then x =

0.5

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

0.2

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

0.4

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

0.1

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

Open in App

Solution

The correct option is A
0.5

$9^{x + 2} = 240 + 9^{x} \Rightarrow 9^{x + 2} - 9^{x} = 240 \Rightarrow 9^{x} 9^{2} - 9^{x} = 240 \Rightarrow 9^{x} (9^{2} - 1) = 240 \Rightarrow 9^{x} (81 - 1) = 240 \Rightarrow 9^{x} \times 80 = 240 \Rightarrow 9^{x} = \frac{240}{80} = 3 \Rightarrow (3^{2})^{x} = 3^{1} \Rightarrow 3^{2 x} = 3^{1} ∴ 2 x = 1 \Rightarrow x = \frac{1}{2} = 0.5$

Suggest Corrections

226

Similar questions

Q. 9^x+2 = 240 + 9^x , what is x?

Q. If 9^x⁺² = 240 + 9^x, then x =

(a) 0.5
(b) 0.2
(c) 0.4
(d) 0.1

$D e t e r m i n e (8 x)^{x}, i f 9^{x + 2} = 240 + 9^{x} .$

Q. If f(x)

= a x^{3} - 9 x^{2} + 9 x + 3

is increasing on R, then

Q. If

f (x) = k x^{3} - 9 x^{2} + 9 x + 3

is monotonically increasing in each interval, then

Join BYJU'S Learning Program

If 9x+2=240+9x, then x =

The correct option is A 0.5 9x+2=240+9x⇒9x+2−9x=240⇒9x92−9x=240⇒9x(92−1)=240⇒9x(81−1)=240⇒9x×80=240⇒9x=24080=3⇒(32)x=31⇒32x=31∴2x=1⇒x=12=0.5

If $9^{x + 2} = 240 + 9^{x}$ , then x =