Question

pls solve all step by step​

Answer 1

HI,

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SOLUTION:-

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$\huge\bold\red\bigstar$ log2 √32=x

$\large\bold\red\rightarrow \: log2(2 {}^{ \frac{5}{2} } ) = x \\ \large\bold\red\rightarrow\frac{5}{2} = x \\ .°.\:x = \frac{5}{2}$

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$\huge\bold\blue\bigstar$ log0.1 10=x

$log \: 10 \: {}^{ - 1} (10) = x \\ .°. - 1 = x \\ \huge\bold\blue\rightarrow .°.x = -1$

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$\huge\bold\purple\bigstar$ log 3√5 x =6

log 3√5 (x) =6 , x> 0.

.°. x=(3√5)^6.

.°. x=729×125

.°.x=91125. , x>0.

$\huge\bold\purple\rightarrow$ x=91125

alternate form.

$\huge\bold\purple\rightarrow$ x=45³.

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$\huge\bold\purple\bigstar$ log x (625)=4

.°. log x (625)=4 ,,, x €[ 0,1] U [1+ ∞]

.°.x^4=625

take the root both side.

x= ±5

.°. x=5

.°.x=-5

(neglect the minus ( ➖) term)

$\huge\bold\purple\rightarrow$x=5

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