Expand the expression using the laws of logarithms: log3 10

Q: Use the definition of logarithm to simplify each expression. log 10n

A: From definition of logarithmlogb(ba)=a

Q: Change the exponential statement to an equivalent statement involving a logarithm. a3 =2.1

A: It is known that exponential functions and logarithmic functions are inverse functions. So, this…

Q: 200

A:

Q: For Exercise, write the logarithm as a sum or difference of logarithms. Simplify each term as much…

A: Calculation:

Q: Change the exponential statement to an equivalent statement involving a logarithm. 3x = 4.6

A: The given equation is 3x=4.6

Q: approximate the logarithm using the properties of logarithms, given log, 2 = 0.3562, log, 3 =…

A: To determine the approximate value of the log.

Q: Change the logarithmic statement to an equivalent statement involving an exponent. log2 8 = 3

A: Given: Change the logarithmic statement to an equivalent statement involving an exponent.  log2 8 =…

Q: Evaluate the expression without using a calculator: log4 46

A: Properties of logarithmi logax+logay=logaxyiilogax-logay=logaxyiiilogaxP=Plogaxivlog bxlog ba=log…

Q: Write the following as the sum and/or difference of logarithms. Assume all variables are positive.…

A: using log(mn)=log m-log nhere m=3zand n=11

Q: Use the Laws of logarithms to rewrite the expression 6. log3

A: Formula Used: We have properties of log: 1. Exponent property of log…

Q: Expand the logarithmic expression log, Show your work and attach (c + 1)3

A: let x = logbbbc+13we know that logaan = nlogaa = nlogab = loga-log(b)

Q: valent expression involvin

A: The expression given is,  73=x. It is known that , If ax=b. x=logab.

Q: write the following expression as a sum or difference of logarithms with no exponents. Simplify. log…

A:

Q: Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as…

A:

Q: Evaluate the expression without using a calculator.

A: Evaluate the expression without using a calculator. loga1a using the logarithmic property.…

Q: For Exercise, write the logarithm as a sum or difference of logarithms. Simplify each term as much…

A:

Q: Evaluate the expression without using a calculator. log2 1623

A: log21623

Q: Write the following logarithmic statements in exponential form. 1. loga(32) = · 2. log10(y) = 4 3.…

A:

Q: . Use the change-of-base formula to write (log, 5)(logs 9) as a single logarithm.

A: For natural logarithms the base is e. This is the most commonly used base for logarithm. Another…

Q: Evaluate the expression without using a calculator. log33

A: Please see the explanation below

Q: Write the following as the sum and/or difference of logarithms. Assume all variables are positive.…

A:

Q: Evaluate the expression without using a calculator: log5 57

A: Given The expression is log5 57 .

Q: Evaluate the expression without using a calculator. log3 81

A: Given: log381

Q: For Exercise, write the logarithm as a sum or difference of logarithms. Simplify each term as much…

A: here given as

Q: For Exercise, simplify the logarithmic expression without using a calculator. log2 64

A: Given :Log2164

Q: Change the logarithmic statement to an equivalent statement involving an exponent. log 8= 6

A:

Q: Expand each logarithm using the properties above. b) log, Vx²yz

A: Given: We need to solve log2x2yz3.

Q: approximate the logarithm using the properties of logarithms, given log, 2 = 0.3562, log, 3 =…

A:

Q: write the logarithmic expression as a single logarithm with coefficient 1 and simplify as much as…

A: Consider the expression,

Q: Use the power rule to expand the logarithmic expression:  log6 39

A: Let the given value be y -y = log639Using power rule logarithmic property - logab =…

Q: For Exercise, write the logarithm as a sum or difference of logarithms. Simplify each term as much…

A:

Q: Evaluate the expression without using a calculator log2(log3 81).

A: Consider the following expression,  -------(1) Take the inner function  as follows, To evaluate the…

Q: Evaluate using the change of base formula (without a calculator).

A: To calculate the given equation

Q: Use the properties of logarithms to expand the following expression. log

A:

Q: Change the logarithmic statement to an equivalent statement involving an exponent. loga 3 = 6

A: Given logarithmic statement loga 3 = 6

Q: For Exercise, use logb 2 = 0.356, logb 3 - 0.565, and logb 5 = 0.827 to approximate the value of the…

A: Given: Find the approximate value of logarithms. Property used: For logarithms,

Q: Use the Change of Base Formula to rewrite the logarithm with the common logarithm or the natural…

A:

Q: In each part, find the value of x. (a) log10 x = 3 (b) log5 x = 2

A:

Q: Evaluate the expression without using a calculator: log2(log3 81)

A: We have to evaluate the expression without using a calculator: log2log381.

Q: approximate the logarithm using the properties of logarithms, given log, 2 = 0.3562, log, 3 =…

A: Use the quotient property for logarithms.

Q: Change the logarithmic statement to an equivalent statement involving an exponent. logb 4 = 2

A: We have to change the given logarithmic statement to an equivalent statement involving an exponent:…

Q: Change the exponential statement to an equivalent statement involving a logarithm. 729=9^3

A: Given : 729 = 93

Q: Simplify the expression using logarithmic identities. log47 −log45

A: To simplify the given expression.

Q: Change the logarithmic expression to an equivalent exponent expression Log 216 = b

A:

Q: Use the rules for logarithms to evaluate the following expression. log(10-5)

A: The logarithmic expression is given by,

Q: Convert the expression to the log, x using base 10

A: Given that: log5x using base 10.

Q: Change the exponential statement to an equivalent statement involving a logarithm. 2x = 7.2

A: Given exponential function - 2x = 7.2Taking logarithm on both sides - log2x = log7.2xlog2 = log7.2…

Q: For Exercise, apply the power property of logarithms. log, V

A: Given that, the logarithms  log6 x37 To apply the power property of logarithms.

Q: Change the exponential to an equivalent expression involving Logarithm 4C = 8

A: Solve the expression in logarithmic form