Question

solve the following exponential equation (root3)^x=(3)^8​

Answer 1

Answer:

x = 16

Step-by-step explanation:

$( { \sqrt{3}) }^{x} = {3}^{8} \\ ( { {3}^{ \frac{1}{2} } )}^{x} = {3}^{8} \: \: \: \: \: \: \: \sqrt{3} = {3}^{ \frac{1}{2} } \\ {3}^{ \frac{x}{2} } = {3}^{8} \: \: \: \: \: \: \: \: \: \: \: \: { {a}^{m} }^{n} = {a}^{mn} \\ \frac{x}{2} = 8 \: \: \: \: when \: bases \: are \: equal \: their \: exponents \: also \: become \: equal \: \\ x = 16$

Answer 2

Answer:

Hope it's helpful

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