9 Solve each equation. Simplify completely. a. log x--3 b. log3 81 10. Write the
ID: 3185172 • Letter: 9
Question
9 Solve each equation. Simplify completely. a. log x--3 b. log3 81 10. Write the logarithm as the sum andor difference of logarithms of a single quantity. Then simplify, if possible. . Write the logarithmic expression as one logarithm. Then simplify if possible. 410g x-Slogy-?logz 12. Solve the equation. Give the exact solution. log2 e-5-1 3x-8 4(x-5) 13. For the following sequence, find the sum of the specified number of terms. You must use the formula to receive credit. The first 24 terms of -3,1,5,.. 14. Find the specified term of the sequence with the following properties. You must use the formula to reccive credit. The first three terms are 2,-8,32; find the 7th term. 15. For the following sequence, find the sum of the specified number of terms. You must use the formula to receive credit. The first 8 terms of 2,-4,8,Explanation / Answer
9) a ) log 4 x = -3
4^-3 = x
x = 1/ 64
b) log 3 81
applying change of base formula
log 81 / log 3
log (3)^4 / log 3
4 log 3 / log 3
cancelling log 3 from top and bottom
final answer is 4
10) log 3 ( a / 4th root (b) c^6 )
applying log properties
log 3 a - 1/4 log 3 b - 6 log 3 c
11) 4 log x - 5 log y - 1/3 log z
[ x^4 / y^5 z^1/3 ]
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