Learn how to solve an exponential equation by isolating exponent and taking log 10^x +5=50

The video tutorial explains how to solve an exponential equation by isolating the variable and applying logarithms. It distinguishes between using base 10 and natural logarithms, emphasizing when to use each. The tutorial also demonstrates how to use a calculator for logarithmic calculations, highlighting the importance of understanding the change of base formula.

What is the first step to isolate the exponential term in the equation 10^X + 5 = 50?

• Add 5 to both sides

• Subtract 5 from both sides

• Multiply both sides by 10

• Divide both sides by 10

Which base is used for the logarithm to solve the equation 10^X = 45?

• Base 10

• Base E

• Base 5

• Base 2

Why is it unnecessary to use the change of base formula when using base 10 logarithms?

• Base 10 logarithms are only used for natural numbers

• Base 10 logarithms are more accurate

• Base 10 logarithms are the default in calculators

• Base 10 logarithms are not supported by calculators

What is the approximate value of log base 10 of 45?

• 1.55

• 1.65

• 1.45

• 1.35

In which scenario would you use the natural logarithm (Ln) instead of a base 10 logarithm?

• When dealing with base 10

• When dealing with base 2

• When dealing with base E

• When dealing with base 5