The correct option is D 4.5 [ Let ( 17)^3.5×( 17)^x = 17^8. Then, ( 17)^3.5 + x = ( 17)^8.; ∴ 3.5 + x = 8 ⇔ x = ( 8 3.5) ⇔ x = 4.5 ] ...

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

Solving Inequalities

173.5×17?=178

Question

(17) $^{3.5}$ x (17) $^{?}$ = 17 $^{8}$

2.29

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

2.75

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

4.25

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

4.5

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

None of these

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

Open in App

Solution

The correct option is D
4.5

$\begin{matrix} L e t {(17)}^{3.5} \times {(17)}^{x} = 17^{8} . T h e n, {(17)}^{3.5 + x} = {(17)}^{8} . ∴ 3 .5 + x = 8 \Leftrightarrow x = (8 - 3.5) \Leftrightarrow x = 4.5 \end{matrix}$

Suggest Corrections

Similar questions

17^{3.5} \times 17^{x} = 17^{8} ?

60 % o f (x + 173.5 + 157.5) = 21 \times 12

17

178

178 \times . . . . . . . = 0

Join BYJU'S Learning Program