Question: Without using your calculators (except to check your answers), determine or deduce the following logarithms. State the exponential relations which suggest or confirm your answers

Without using your calculators (except to check your answers), determine or deduce the following logarithms. State the exponential relations which suggest or confirm your answers in each case.

(a) log₁₆8 (b) log_0.11000 (c) log₈32 (d) log₈16

Using only the information: log_b2 = 0.3445, log_b5 = 0.8000, and log_b7 = 0.9672 to four decimal places, compute each of the following logarithms. You may use the basic properties of logarithms here, but you may not use a built-in logarithmic function key on your calculator. Show your work. Do not attempt to determine the value of the base b first.

(a) log_b35 (b) log_b49 (c) logb3.5 (d) logb(105.12)

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