Solve the following exponential equation: 6²+3 = 7 using the following methods. (a) Take the "log1," of both sides and simplify. Use your calculator to evaluate logarithms along the way (1.e. get a decimal representation for the logarithm, using 3 decimal places). (b) Take "In" of both sides and simplify. Use your calculator to evaluate logarithms along the way (i.e. get a decimal representation for the logarithm, using 3 decimal places). (c) How close are your answers for (a) and (b)?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.2: Logarithmic Functions
Problem 3YT: YOUR TURN Write the expression logax2/y3 as a sum, difference, or product of simpler logarithms.
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Solve the following exponential equation: 6²+3 = 7 using the following methods.
(a) Take the "log1," of both sides and simplify. Use your calculator to evaluate logarithms along the way (1.e. get a decimal
representation for the logarithm, using 3 decimal places).
(b) Take "In" of both sides and simplify. Use your calculator to evaluate logarithms along the way (i.e. get a decimal
representation for the logarithm, using 3 decimal places).
(c) How close are your answers for (a) and (b)?
Transcribed Image Text:Solve the following exponential equation: 6²+3 = 7 using the following methods. (a) Take the "log1," of both sides and simplify. Use your calculator to evaluate logarithms along the way (1.e. get a decimal representation for the logarithm, using 3 decimal places). (b) Take "In" of both sides and simplify. Use your calculator to evaluate logarithms along the way (i.e. get a decimal representation for the logarithm, using 3 decimal places). (c) How close are your answers for (a) and (b)?
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