3 years ago

Helppp and explain pls and ty

Mathematics

1 answer:

zhenek [66]3 years ago

6 0

The answer should be c 4 hours

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X<br>81** *34*=246<br><img src="https://tex.z-dn.net/?f=81x%20%2B%201%20%2B%203%7B4x%20%7D%20%3D%20246" id="TexFormula1" title="

anzhelika [568]

Answer:

$x=\frac{1}{4}$

Step-by-step explanation:

$81^{x+1}+3^{4x}=246$

$81=3^4$

Rewrite equation: $3^{4\left(x+1\right)}+3^{4x}=246$

$3^{4\left(x+1\right)}=3^{4x}\times 3^4$

$3^{4x}\times 3^4+3^{4x}=246$

Factor out $3^{4x}$ :

$3^{4x}\left(3^4+1\right)=246$

Divide both sides by $(3^4+1)$ :

$\frac{3^{4x}\left(3^4+1\right)}{3^4+1}=\frac{246}{3^4+1}$

$3^{4x}=\frac{246}{3^4+1}$

$3^{4x}=\frac{246}{82}$

$3^{4x}=3$

Anything to the power of 1 is itself. Hence,

$4x=1\\$

$x=\frac{1}{4}$

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