Chapter 8.B, Problem 20E

Logarithms. Refer to the Brief Review on p. 488. Determine whether each statement is true or false without doing any calculations. Explain your reasoning13. 10⁰.928 is between 1 and 10.

1. 10³.334 is between 500 and 1000.
2. 10-5.2 is between-100,000 and-1,000,000.
3. 10-2.67 is between 0.001 and 0.01.
log_l0 $\pi$
4. is between 3 and 4.

log₁₀96 is between 3 and 4.

log₁₀1,600,000 is between 16 and 17.

log₁₀(8X 10⁹) is between 9 and 10.

Log₁₀( $\frac{1}{4}$

) is between —1 and 0.

Log₁₀0.00045 is between 5 and 6.

Using the approximation log₁₀2 = 0.301, evaluate each of the following without a calculator.

log₁₀8

log₁₀2000

log₁₀0.5

log₁₀64 e. log₁₀1/8

log₁₀0.2

Using the approximation log₁₀5 = 0.699, evaluate each of the following without a calculator

Log₁₀50

log₁₀5000

log₁₀0.05

log₁₀25

log₁₀0.20

log₁₀0.04