Mathematics: 4^(4x-1)=32 how do i solve this problem? do i do 4 to the fourth power first?

4^(4x-1)=32 how do i solve this problem? do i do - id44132487358, jjjoooorrrrddddaannn

Ответ:

marmee

11.03.2022

$\large\boxed{x=\dfrac{7}{8}}$

Step-by-step explanation:

$4^{(4x-1)}=32\\\\(2^2)^{4x-1}=2^5\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{2(4x-1)}=2^5\iff2(4x-1)=5\ \ \text{use the distributive property}\ a(b+c)=ab+ac\\\\(2)(4x)+(2)(-1)=5\\\\8x-2=5\qquad\text{add 2 to both sides}\\\\8x=7\qquad\text{divide both sides by 8}\\\\x=\dfrac{7}{8}$

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Ответ:

matius0711

02.02.2022

Mathematics

the problaty of getting Gray tile is 6 time

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4^(4x-1)=32
how do i solve this problem? do i do 4 to the fourth power first?

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