common and natural logarithms, change of base, equations and applications
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Find exact value of 1n 8 exponent square root e | e exponent x means loge(little e) exponent x=x answer; 1n e1/8=12/8
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| Solve the equation for x-give an exact solution and a 4-decimal-place approximation logx=3.1 | Find exact solution, write the equation in exponential notation such that it can be evulated with a calculator. 10exponent 3.1=x, 10 exponent 3.1 is the exact solution.
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| Find the exact value log 1 over 100,000 | common logarithms logx means log 10 exponent x. Remember log 10 exponent x meand log (little 10) 10 exponent x=x. Answer; log 10 exponent-5=-5
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| Solve the equation for x. Give an exact solution and a 4-decimal-place approximation logx=3.1 | The exact solution is 10 exponent 3.1. 10 exponent 3.1 approximated to 4 decimal places is 1258.9254
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| Solve the equation. Give an exact solution and also approximate the solution to 4 decimal places. 11(x+7)(exponents)=2 | a exponent x=a exponent y to x=y Take the logarithm of each side. log 11 exponents x+7=log2. Use properties of logarithms. Solve for x and calculate the value of x. Solution is log2 over log 11 -7 or approximately -6.7109
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| Solve the equation log15(x to the second power-14x)=1 | Notice that x exponent 2-14x must be positive with this in mind, write an equivalent exponential equation using the definition of logarithms. log a b=y is equivalent to a exponent 4=b
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Created by:
Pferman
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