# math 104

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log_(9) $$73$$

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1. ### ALGEBRA

(a) Write the expression in terms of natural logarithms. (Express all logarithmic functions in terms of ln(x) in your answer.) log_(8.5) $$127$$ = Give a calculator approximation (correct to four decimal places). log_(8.5) $$127$$ …
2. ### ALGEBRA

Evaluate the given expressions (to two decimal places). (a) log((23.0) ((b) log_(2) $$128$$ text((c) ) log_(9) $$1$$
3. ### ALGEBRA

Use the definition of logarithm to simplify each expression. (a) )log_(3b) $$3b$$ ((b) )log_(8b) $$(8b)^6$$ (c) )log_(10b) $$(10b)^(-13)$$
4. ### ALGEBRA

Evaluate the given expressions (to two decimal places). (a) ) log((23.0) (b) ) log_(2) $$128$$ (c) ) log_(9) $$1$$
5. ### ALGEBRA

Use the definition of logarithm to simplify each expression. text((a) )log_(3b) $$3b$$ text((b) )log_(4b) $$(4b)^6$$ text((c) )log_(7b) $$(7b)^(-11)$$
6. ### ALGEBRA

(a) Write the expression in terms of natural logarithms. (Express all logarithmic functions in terms of ln(x) in your answer.) log_(8.9) $$135$$ = (b) Give a calculator approximation (correct to four decimal places). log_(8.9) $$135$$ …
7. ### math

Prove. 3/(log_2 (a)) - 2/(log_4 (a)) = 1/(log_(1/2)(a))
8. ### math

Prove: 3/(log_2 (a)) - 2/(log_4 (a)) = 1/(log_(1/2)(a))
9. ### Trigonometry

Every point (x,y) on the curve y = \log_{2}{3x} is transferred to a new point by the following translation (x',y') =(x+m,y+n), where m and n are integers. The set of (x',y') form the curve y = \log_{2}{(12x-96)} . What is the value …
10. ### algebra

Let $x$, $y$, and $z$ be positive real numbers that satisfy $2 \log_x (2y) = 2 \log_{2x} (4z) = \log_{2x^4} (8yz) \neq 0.$ The value of $xy^5 z$ can be expressed in the form $\frac{1}{2^{p/q}}$, where $p$ and $q$ are relatively prime …

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