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3 years ago

Pleaseeee help i don't understand how to do this

Mathematics

1 answer:

den301095 [7]3 years ago

7 0

Answer:

$x=\frac{5}{k}$

Step-by-step explanation:

Given expression is,

$\text{log}_{3^k}243=x$

By using the law of logarithm,

$(3^k)^x=243$

$3^{kx}=243$

$3^{kx}=3^5$

By comparing exponents on both the sides of the equation,

$kx=5$

$x=\frac{5}{k}$

Therefore, $x=\frac{5}{k}$ will be the answer.

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3 years ago

PLEASE HELP ME I BEG

Kay [80]

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

• 1 + cot²x = csc²x

Consider the left side

$csc^{4}$ x - $cot^{4}$ x

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= (1 + cot²x - cot²x)(csc²x + cot²x)

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Step-by-step explanation:

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