Question

How do I solve this equation?

Answer 1

Step-by-step explanation:

if no.is same the. power is added

3^a+2+a+1 ÷ 4

3^2a+3÷4

2a+3=1

2a=-2

a=-1

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Answer 2

$\dfrac{3 ^{a \: + \: 2} \: \times \: {3}^{a \: + \: 1} }{4 \: \times \: {3}^{a} \: - \: {3}^{a} }$

____________ [ GIVEN ]

We have to solve it.

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→ $\dfrac{3 ^{a \: + \: 2} \: \times \: {3}^{a \: + \: 1} }{4 \: \times \: {3}^{a} \: - \: {3}^{a} }$

→ $\dfrac{3 ^{a \: + \: 2} \: \times \: {3}^{a \: + \: 1} }{{12}^{a} \: - \: {3}^{a} }$

→ $\dfrac{3 ^{(a \: + \: 2 \: + \: a \: + \: 1)}}{{12}^{a} \: - \: {3}^{a} }$

→ $\dfrac{3 ^{(2a \: + \: 3)}}{{12}^{a} \: - \: {3}^{a} }$

→ $\dfrac{3 ^{(2a \: + \: 3)}}{3({4}^{a} \: - \: {1}^{a} )}$

→ $\dfrac{2a \: + \: 3}{{4}^{a} \: - \: {1}^{a} }$

→ $\dfrac{2a \: + \: 3}{{3}^{a} }$

→ 2a + 3 = 3a

→ 3 = 3a - 2a

→ 3 = a

→ a = 3

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