Understanding Logarithmic and Exponential Forms

This video tutorial explains how to convert between logarithmic and exponential forms. It begins with an introduction to the basic concepts and provides several examples to illustrate the conversion process. The video also covers the reverse process, converting from exponential to logarithmic form, with additional examples. The tutorial concludes with a summary and encourages viewers to subscribe for more educational content.

What is the exponential form of log base B of a equals C?

• B raised to the power of C equals a

• C raised to the power of B equals a

• a raised to the power of B equals C

• B equals a raised to the power of C

If log base 2 of 8 equals 3, what is the equivalent exponential form?

• 2 raised to the power of 3 equals 8

• 8 raised to the power of 2 equals 3

• 3 raised to the power of 2 equals 8

• 2 equals 8 raised to the power of 3

How would you express log base 3 of X equals 2 in exponential form?

• 3 equals X raised to the power of 2

• 2 raised to the power of 3 equals X

• X raised to the power of 3 equals 2

• 3 raised to the power of 2 equals X

If log base B of 1/16 equals -2, what is the equivalent exponential form?

• 1/16 equals B raised to the power of -2

• B raised to the power of 1/16 equals -2

• 1/16 raised to the power of B equals -2

• B raised to the power of -2 equals 1/16

What is the logarithmic form of 2 raised to the power of X equals 32?

• log base 2 of X equals 32

• log base 32 of 2 equals X

• log base X of 32 equals 2

• log base 2 of 32 equals X

Convert 1/3 raised to the power of X equals 9 into logarithmic form.

• log base 1/3 of 9 equals X

• log base 9 of X equals 1/3

• log base 9 of 1/3 equals X

• log base X of 1/3 equals 9

How would you express 5 raised to the power of X equals 125 in logarithmic form?

• log base 125 of 5 equals X

• log base 5 of 125 equals X

• log base X of 5 equals 125

• log base 125 of X equals 5

What is the logarithmic form of 10 raised to the power of X equals 510?

• log base 510 of X equals 10

• log base 10 of 510 equals X

• log base 510 of 10 equals X

• log base X of 10 equals 510

Convert 9 raised to the power of 2X equals 78 into logarithmic form.

• log base 9 of 78 equals 2X

• log base 78 of 9 equals 2X

• log base 2X of 9 equals 78

• log base 78 of 2X equals 9

What is the exponential form of log base 10 of 510 equals X?

• X raised to the power of 10 equals 510

• 510 raised to the power of 10 equals X

• 10 raised to the power of X equals 510

• 10 equals 510 raised to the power of X