Find the value of x- if-12527-12527x - 5318

(12527)×(12527)^x = (53)^18 ⇒ (5^33^3) × (5^33^3)^x = (53)^18 ⇒ (53)^3 × (53)^3x = (53)^18 ⇒ 3 + 3x = 18 [Equating the powers of same base] 3x = 18 – 3 = 15 ...

977

You visited us 977 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

Dividing Terms with the Same Exponent

Find the valu...

Question

Find the value of x, if:

$(\frac{125}{27}) \times (\frac{125}{27})^{x} = (\frac{5}{3})^{18}$

5 \times 3 \times 5

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

3^{5}

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

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

5^{3}

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

Open in App

Solution

The correct option is C 5
$(\frac{125}{27}) \times (\frac{125}{27})^{x} = (\frac{5}{3})^{18}$

$\Rightarrow (\frac{5^{3}}{3^{3}}) \times (\frac{5^{3}}{3^{3}})^{x} = (\frac{5}{3})^{18}$

$\Rightarrow (\frac{5}{3})^{3} \times (\frac{5}{3})^{3 x} = (\frac{5}{3})^{18}$

⇒ 3 + 3x = 18 [Equating the powers of same base]
3x = 18 – 3 = 15
x = 5

Suggest Corrections

Similar questions

Q. Find the value of

x

(\frac{625}{81}) \times (\frac{125}{27})^{x} = (\frac{25}{9})^{8}

Q. Find the value of x :

{(\frac{3}{5})}^{x} {(\frac{5}{3})}^{2 x} = \frac{125}{27}

Q. Find x, if:

(\sqrt{\frac{3}{5}})^{x + 1} = \frac{125}{27}

Q. If

(- \frac{3}{5})^{x} = - \frac{27}{125}

, then find the value of

x

Q6. Find the value of x:

a) (125/ 8) X (125/ 8)^x = (5/2)¹⁸

b) 3^{2x + 1} / 9 = 27

Join BYJU'S Learning Program

Find the value of x, if: (12527)×(12527)x=(53)18

The correct option is C 5(12527)×(12527)x=(53)18 ⇒(5333)×(5333)x=(53)18 ⇒(53)3×(53)3x=(53)18 ⇒ 3 + 3x = 18 [Equating the powers of same base] 3x = 18 – 3 = 15 x = 5

Find the value of x, if:

$(\frac{125}{27}) \times (\frac{125}{27})^{x} = (\frac{5}{3})^{18}$