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题目
MAT-265-OD24-02-7799 Prior Knowledge Check
单项选择题
Simplify Change the logarithmic statement to an equivalent statement involving only one logarithm. log 3 ( 𝑥 ) − 8 log 3 ( 𝑥 + 8 )
选项
A.log
3
(
𝑥
)
log
3
(
𝑥
+
8
)
8
B.8
log
3
(
𝑥
)
log
3
(
𝑥
+
8
)
7
C.log
3
(
𝑥
(
𝑥
+
8
)
8
)
查看解析
标准答案
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思路分析
We start by identifying the task: convert the expression log_3(x) − 8 log_3(x + 8) into a single logarithm using standard logarithm properties.
Option 1: log_3(x) log_3(x + 8) 8
This option appears to treat the logs as multiplicative and/or to apply exponents in a nonstandard way. In fact, the product log_3(x) · log_3(x + 8) is not a valid trans......Login to view full explanation登录即可查看完整答案
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类似问题
Part 1Change the logarithmic expression to an equivalent expression involving an exponentlog Subscript 2 Baseline left parenthesis one fourth right parenthesis equals negative 2log214=−2 Part 1The logarithm log Subscript 2 Baseline left parenthesis one fourth right parenthesis equals negative 2log214=−2 written as an exponential equation is [input]enter your response here .(Type an equation. Use integers or fractions for any numbers in the equation.)
Use the properties of logarithms to find the exact value of the expression. Do not use a calculator.
Simplify Change the logarithmic statement to an equivalent statement involving only one logarithm. log3(x)−8 log3(x+8)
Use the properties of logarithms to find the exact value of the expression. Do not use a calculator. log 3 24 − log 3 8
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