Solve the equation $3^{2x}+9=10·3^x$.

Important Questions on Miscellaneous Equations

MEDIUM

JEE Main

IMPORTANT

Higher Algebra>Chapter 10 - Miscellaneous Equations>EXAMPLES. X.a.>Q 12

Solve the equation $5\left[5^x+5^{-x}\right]=26$.

MEDIUM

JEE Main

IMPORTANT

Higher Algebra>Chapter 10 - Miscellaneous Equations>EXAMPLES. X.a.>Q 13

Solve the equation $2^{2x+8}+1=32·2^x$.

MEDIUM

JEE Main

IMPORTANT

Higher Algebra>Chapter 10 - Miscellaneous Equations>EXAMPLES. X.a.>Q 14

Solve the equation $2^{2x+3}-57=65\left(2^x-1\right)$.

MEDIUM

JEE Main

IMPORTANT

Higher Algebra>Chapter 10 - Miscellaneous Equations>EXAMPLES. X.a.>Q 15

Solve the equation $\sqrt{2^x}+\frac{1}{\sqrt{2^x}}=2$.

MEDIUM

JEE Main

IMPORTANT

Higher Algebra>Chapter 10 - Miscellaneous Equations>EXAMPLES. X.a.>Q 16

Solve the equation $\frac{3}{\sqrt{2x}}-\frac{\sqrt{2x}}{5}=5\frac{9}{10}$.

HARD

JEE Main

IMPORTANT

Higher Algebra>Chapter 10 - Miscellaneous Equations>EXAMPLES. X.a.>Q 17

Solve the equation $(x-7)(x-3)(x+5)(x+1)=1680$.

HARD

JEE Main

IMPORTANT

Higher Algebra>Chapter 10 - Miscellaneous Equations>EXAMPLES. X.a.>Q 18

Solve the equation $(x+9)(x-3)(x-7)(x+5)=385$.

HARD

JEE Main

IMPORTANT

Higher Algebra>Chapter 10 - Miscellaneous Equations>EXAMPLES. X.a.>Q 19

Solve the equation $x(2 x+1)(x-2)(2 x-3)=63$.