Question

By using the formula log, X"=nlog, x, Convert the following
(i) log²
7²⁵
(ii) log⁵ 8⁵⁰ (iii) log 5²³ (iv) log 1024​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Conversion of the following subdivisions

Given:

$x^{n}$=nlogx

To Find:

To convert the given into the formula and get the value

Solution:

The formula for all of these is $log_{a} x^{n}$ = $nlog_{a} ^x$

(i) $log_{2}$7²⁵

Here,

n = 25 , a = 2, x = 7

We get,

= 25 $log_{2}^7$

(ii) $log_{5}$ 8⁵⁰

Here ,

n = 50 , a = 5 , x= 8

We get the answer according to the formula,

= 50 $log_{5}^8$

(iii) log 5²³

log$x^{a}$  = alogx

We get the value as,

= 23log5

(iv) log 1024​

= log$2^{n}$

n = 10

= log$2^{10}$

= 10 log2

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