log 10 x = − 2 হলে x এর মান কত?

log 10 x = − 2 হলে x এর মান কত? ?

Created: 9 months ago | Updated: 2 months ago | Created By:

Imran Ahmed

0.01

0.001

0.05

0.005

0 16

Institution: Non Government Teachers Registration and Certification Authority (NTRCA) Exam: ১৮ তম শিক্ষক নিবন্ধন পরীক্ষা (স্কুল পর্যায়) (15-03-2024) || 2024
Topic: Algebra Mathematics (বীজগণিত), Subject: Mathematics (সাধারণ গণিত)

Best Answer Explained in Below-:

To solve the equation \( \log_{10} x = -2 \), we start by translating the logarithmic expression into an exponential form. The equation states that the logarithm of \( x \) to the base 10 equals -2. This can be rewritten using the definition of logarithms:

\[
x = 10^{-2}
\]

Next, we calculate \( 10^{-2} \). By the rules of exponents, \( 10^{-2} \) means that we take the reciprocal of \( 10^2 \):

\[
10^{-2} = \frac{1}{10^2} = \frac{1}{100} = 0.01
\]

Thus, the value of \( x \) is 0.01.

Looking at the options provided (A: 0.01, B: 0.001, C: 0.05, D: 0.005), we find that option A is indeed the correct answer.

Understanding that logarithmic equations can be transformed into their equivalent exponential forms is crucial in solving such equations. This knowledge allows us to efficiently determine that \( x = 0.01 \) satisfies the original logarithmic equation.

No comments yet.

log 10 x = − 2 হলে x এর মান কত? ?

x^( p − q )^p + q . x^( q − r )^q + r . x^( r − p )^r + p =কত?

( log_10 x )^2 = log_10 x^2 হলে x এর মান কত?

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