Use the change-of-base formula to rewrite the expression log; 2 in terms of the natural logarithm In (x).

Q: Expand the logarithm expression. Evaluate if needed: log33x*(x+1)²

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Q: Use common logarithms to solve for x in terms of y

A: Given, y=10x-10-x10x+10-x y10x+y10-x=10x-10-x now simplify in terms of y…

Q: 200

A:

Q: Use common logarithms to solve the equation for x in terms of y.

A: Consider the given function as y=110x+10-x

Q: Write an expression equal to log, (5) + log,(6) using at most one log.

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Q: Rewrite the left hand side as an expression of a single logarithm: log3(x-1)-log3(x+2)=2

A: Given,

Q: Express (logxa)(logab) as a single logarithm.

A: To simplify the given expression.

Q: Select all expressions that are equivalent to log12(3) A log(-) log(3) log(12) In(3) In(12) Dlog(12)…

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Q: solve for x: log(? + 2) − log(? − 2) = log 5

A: D

Q: Solve for x: log x + log(x + 5) = 6

A: Consider the given equation logx+logx+5=6

Q: Use laws of logarithms to combine this expression: 2log5(x)+1/3log5(y6)-5log5(z)

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Q: Solve for : log, (+ 6) = 2 Write log (a+ 6) = 2 in exponential form. Find the value of x.

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