Find the \(6^{th}\) term of the expansion of \((\frac{1}{2a}-3)^{16}\)
A\(-\frac{66939}{256a^{11}}\)
B\(\frac{66339}{128a^{11}}\)
C\(-\frac{33669}{256a^{11}}\)
D\(\frac{39396}{128a^{11}}\)
Mathematics · Question Bank
algebra
342 of 433 questions match · page 6 of 18. Answer in your head first, then check the solution.
What is the coefficient of the term free of \(x\) of the expansion of \((2x-5y)^4\)?
A256
B526
C265
D625
Find the \(6^{th}\) term of \((3x-4y)^8\)
A\(-148{,}288x^3y^6\)
B\(-548x^2y^5\)
C\(-154{,}288x^3y^5\)
D\(-1{,}548{,}288x^3y^5\)
What is the sum of the coefficients of the expansion of \((2x-1)^{20}\)?
A0
B1
C2
D3
What is the sum of the coefficients in the expansion of \((x+y-z)^8\)?
A0
B1
C2
D3
Find the value of \(\log_8 48\).
A1.86
B1.68
C1.78
D1.98
Evaluate the \(\log_6 845 = x\).
A3.76
B5.84
C4.48
D2.98
What is the value of \(\log\) to base 10 of \(1000^{3.3}\)?
A10.9
B99.9
C9.9
D9.5
What is the value of (\(\log\) 5 to the base 2) + (\(\log\) 5 to the base 3)?
A7.39
B3.79
C3.97
D9.37
Find the value of \(\log_4 (\log_3 5)\).
A1.460
B0.275
C1.273
D0.165
Given: \(\log_4 7 = n\). Find \(\log_4 \frac{1}{7}\)
A\(1/n\)
B\(n\)
C\(-1/n\)
D\(-n\)
If \(\log_a 10 = 0.25\) what is the value of \(\log_{10} a\)?
A2
B4
C6
D8
Given: \(\log_b y = 2x + \log_b x\) Which of the following is true?
A\(y=b^{2x}\)
B\(y=2xb\)
C\(y=\frac{2x}{b}\)
D\(y=xb^{2x}\)
Which value is equal to \(\log\) to the base \(e\) of \(e\) to the \(-7x\) power?
A\(-7x\)
B\(10\) to the \(-7x\) power
C7
D\(-7 \log\) to the base 10
Log of the \(n^{th}\) root of \(x\) equals \(\log\) of \(x\) to \(1/n\) power and also equal to
A\(\frac{\log x}{n}\)
B\(n \log x\)
C\(\frac{\log (x \text{ to the } 1/n \text{ power})}{n}\)
D\((n-1)\log x\)
\(\log (MN)\) is equal to:
A\(\log M - N\)
B\(\log M + N\)
C\(N \log M\)
D\(\log M + \log N\)
What expression is equivalent to \(\log(x) - \log(y+z)\)?
A\(\log x + \log y + \log z\)
B\(\log [\frac{x}{y+z}]\)
C\(\log x - \log y - \log z\)
D\(\log y + \log(x+z)\)
Given: \(\log_b 1024 = \frac{5}{2}\) Find \(b\).
A2560
B16
C4
D2
Given: \(\log_3 (x^2-8x) = 2\) Find \(x\).
A-1
B9
C-1 and 9
D1 and -9
Solve for the value of \(x\) in the following equation: \(x^{3 \log x} = 100x\)
A12
B8
C30
D10