Solving the Exponential equations in Quadratic form Questions and solutions

The equations involving the exponential functions are formed in quadratic form in some cases and it is essential for every student to study how to solve the exponential equations of quadratic type in mathematics. A worksheet with list of example questions on solving the exponential quadratic equations with answers is given here for your practice, and solutions to learn how to solve the exponential equations of quadratic form.

Solve $2^{{\displaystyle x}\large +1}-4.2^{\large -{\displaystyle \normalsize x}}-7 = 0$

Solve $4^{{\displaystyle x}\large +1}$ $+$ $4^{{\large 1-} {\displaystyle x}}$ $\,=\,$ $10$

Solve $e^{2\displaystyle x}$ $-$ $3e^{\displaystyle x}$ $+$ $2$ $\,=\,$ $0$

Solve $9^{\displaystyle x}$ $-$ $5.3^{\displaystyle x}$ $+$ $6$ $\,=\,$ $0$

Solve $3^{4\displaystyle x}$ $-$ $3e^{2\displaystyle x}$ $-$ $6$ $\,=\,$ $0$

Solve $5^{2\displaystyle x}$ $+$ $4.5^{{\displaystyle x}\large +1}$ $+$ $125$ $\,=\,$ $0$

Solve $e^{2\displaystyle x}$ $-$ $e^{\displaystyle x}$ $-$ $6$ $\,=\,$ $0$

Solve $4^{\displaystyle x}$ $-$ $10.2^{\displaystyle x}$ $+$ $16$ $\,=\,$ $0$

Solve $2^{2\displaystyle x}$ $-$ $3.2^{{\displaystyle x}\large +2}$ $+$ $32$ $\,=\,$ $0$

Solve $e^{4\displaystyle x}$ $+$ $4e^{2\displaystyle x}$ $-$ $21$ $\,=\,$ $0$

Solve $3^{{\displaystyle x}\large +2}$ $+$ $3^{{\large -} {\displaystyle x}}$ $\,=\,$ $10$

Solve $2^{\displaystyle x}$ $-$ $10.2^{{\large 1-} {\displaystyle x}}$ $+$ $3$ $\,=\,$ $0$

Solve $e^{\displaystyle x}$ $+$ $15e^{{\large -} \displaystyle x}$ $-$ $8$ $\,=\,$ $0$