Buy converting to exponential form find the value of the following i. log8 32 ii. log2 (0.125)?

Question

Answer

Converting Logarithmic to Exponential Form

i. log8 32
To convert the logarithmic expression log8 32 to exponential form, we need to remember that logarithmic form can be written as loga b = x is equivalent to a^x = b. Therefore, log8 32 can be written as 8^x = 32. Now, we need to find the value of x that satisfies this equation.
8^x = 32
2^3^x = 2^5
3^x = 5
Thus, the exponential form of log8 32 is 3^x = 5.

ii. log2 (0.125)
Similarly, to convert the logarithmic expression log2 (0.125) to exponential form, we can rewrite it as 2^x = 0.125. We need to express 0.125 as a power of 2 in order to find the value of x.
2^x = 0.125
2^x = 2^-3
x = -3
Therefore, the exponential form of log2 (0.125) is 2^-3.

In conclusion, by converting the given logarithmic expressions to exponential form, we have found the respective values of x that satisfy the equations. This process helps in understanding the relationship between logarithmic and exponential forms of expressions.

Similar Class 10 Doubts

State whether the following are true or false. Justify your answer.(i) sin(A + B) = sin A + sin B(ii) The value of sin theta increases as e increases. (iii) The value of cos theta increases as e increases. (iv) sin theta = cos theta for all values of 0. (v) cot A is not defined for A = 0?

If the class-intervals are formed by exclusive method, which methods we can use to find the Mean without converting the class intervals into inclusive form?

In the following equation if two zeros of polynomial are reciprocal to each other then find the value of 'a'. (a^2 9)x^2 13x 6a? .?

In the following equation if two zeros of polynomial are reciprocal to each other then find the value of 'a'. (a^2 9)x^2 13x 6a?

Top Courses for Class 10View all

Science Class 10

Social Studies (SST) Class 10

Mathematics (Maths) Class 10

English Grammar Advanced

English Grammar Basic

Top Courses for Class 10

Top Courses for Class 10

Suggested Free Tests

Related Content

About Class 10

Class 10 Study Material

Class 10 All Subjects

NCERT Textbook Solutions

Other Classes

Important Links

Company