Question

Choose the correct option.
What is the value of log1017.5?
Given that, log105 = 0.6990 and log107 = 0.8451​

Answer 1

Answer:

log1017.5

=3.007534418

Answer 2

Answer: The value of  $log_1_017.5 =$ 1.2431

Step-by-step explanation:

Now here, from the above question, the logarithmic value is consist of algebraic and decimal number form

Therefore,

From the simple mathematical laws,

Log form and index form are interchangeable,

hence the law form is,

$a^b = c$ ⇒ $log_ac=b$

Here we can use the law of multiplication for calculation which is,

log(m X n) = log(m + n)

Here we can use the law of division for calculation which is,

log(m / n) = log(m - n)

Let's change from a log form to an index form first.

$log_1_05 =$ 0.6990 = $10^0^.^6^9^9^0$ = 5

$log_1_00.5 =$ $10^- ^0^.^3^0^1^0$ = 0.5

Similarly,

$log_1_07 =$ 0.8451 = $10^0^.^8^4^5^1$ = 7

therefore, from both the values

The value of  $log_1_017.5 =$ 1.2431

Thank you.

#SPJ2

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