Question

Solve: log₂ (7x+2) = 3​

Answer 1

Answer:

14 × 3 =51

Step-by-step explanation:

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Answer 2

AnswEr :

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$:\implies\sf{\log_2(7x+2)=3}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$:\implies\sf{7x+2=(2)^3}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$:\implies\sf{7x+2=8}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$:\implies\sf{7x=8-2}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$:\implies\sf{7x=6}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$:\implies\underline{\boxed{\frak{\textcolor{pink}{x=\dfrac{6}{7}}}}}\;\bigstar$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

More to know :

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• aⁿ = b ⇒ logₐ b = n

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• logₐ 1 = 0, logₐ a = 1

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• logₐ mn = logₐ m + logₐ n

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• logₐ m/n = logₐ m - logₐ n

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• logₐ mⁿ = n logₐ m

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀