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Calculations with Other BasesMost scientific calculators
Chapter 7, Problem 69E(choose chapter or problem)
Problem 69E
Calculations with Other Bases
Most scientific calculators have keys for log10 x and ln x. To find logarithms to other bases, we use the equation log a x = (ln x)/(ln a). Find the following logarithms to five decimal places.
e. ln x, given that log10 x = 2.3
f. ln x, given that log2 x = 1.4
g. ln x, given that log2 x = -1.5
h. ln x, given that log10 x = -0.7
Questions & Answers
QUESTION:
Problem 69E
Calculations with Other Bases
Most scientific calculators have keys for log10 x and ln x. To find logarithms to other bases, we use the equation log a x = (ln x)/(ln a). Find the following logarithms to five decimal places.
e. ln x, given that log10 x = 2.3
f. ln x, given that log2 x = 1.4
g. ln x, given that log2 x = -1.5
h. ln x, given that log10 x = -0.7
ANSWER:
SOLUTION:
Step 1:
In this question we have to calculate the logarithm of numbers to bases other than 10 and e.