Question

answer 10th question ​

Answer 1

Answer :

$(2 {}^{3x - 1} + 10) \div 7 = 6 \\ \\ \frac{(2 {}^{3x - 1} + 10)}{7} = 6 \\ \\ (2 {}^{3x - 1} + 10) = 42 \\ \\ 2 {}^{3x - 1} = 42 - 10 \\ \\ 2 {}^{3x - 1} = 32 \\ \\ 2 {}^{3x - 1} =2 {}^{5} \\ \\ 3x - 1 = 5 \\ \\ 3x = 5 + 1 \\ \\ 3x = 6 \\ \\ x = \frac{6}{3} \\ \\ \boxed{ \red{ \tt x = 2}}$

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Answer 2

Answer:

x = 2

Step-by-step explanation:

2^3x-1 + 10 = 42 (cross multiplication; 6*7)

2^3x-1 = 32

2^3x-1 = 2^5

(bases are same hence equating powers)

3x-1 = 5

3x = 6

x = 2