\(\frac{1}{6^{x}}.42^{x}=343\)

=> \(\frac{1}{6^3}.42^3=7^3\)

=> \(\frac{42^{x}}{6^{x}}=343\)

=> \(\left(\frac{42}{6}\right)^{x}=343\)

=> \(7^{x}=7^3\)

=> \(x=3\)

Vậy : \(x=3\)

3

(\(\frac12\))\(^{x}\) + \(\left(\frac12\right)\)\(^{x+2}\) = \(\frac{5}{32}\)

(\(\frac12\))\(^{x}\).[1 + \(\left(\frac12\right)^2\)]= \(\frac{5}{32}\)

(\(\frac12\))\(^{x}\) .[1 + \(\frac14\)] = \(\frac{5}{32}\)

(\(\frac12\))\(^{x}\).\(\frac54\) = \(\frac{5}{32}\)

(\(\frac12\))\(^{x}\) = \(\frac{5}{32}\) : \(\frac54\)

(\(\frac12\))\(^{x}\) = \(\frac{5}{32}\) x \(\frac45\)

(\(\frac12\))\(^{x}\) = \(\frac18\)

(\(\frac12\))\(^{x}\) = \(\left(\frac12\right)^3\)

\(x=3\)

Vậy: \(x\) = 3

\(\frac{1}{2^{x}}+\frac{1}{2^{x+2}}=\frac{5}{32}\)

\(\frac{1}{2^{x}}\cdot\left(1+\frac{1}{2^2}\right)=\frac{5}{32}\)

\(\frac{1}{2^{x}}=\frac{5}{32}:\frac54=\frac{5}{32}\cdot\frac45\)

\(\frac{1}{2^{x}}=\frac18\)

⇒ \(2^{x}=8\)

\(2^{x}=2^3\)

⇒ x = 3

vậy x = 3

A=5^x+1(1+5+5²+....+5⁸⁸+5⁸⁹)=5^x.5.{(1+5+5²)+5³(1+5+5²)+...+5⁸⁷(1+5+5²)}

=5^x.5.31(1+5³+...+5⁸⁷)=5^x.155.(1+5³+...+5⁸⁷) chia hết cho 155.

Vậy A chia hết cho 155

ban làm cung đươc nhung minh can cách lam day du va con nhanh hon the kia neu ban lam duoc thi minh se cho

^-^

a=607.4785312

b=1410.521469

a. \(y=f\left(x\right)=\left(-1\right)^2-1-2=-2\)

.\(y=f\left(10\right)=10^2+10-2=108\)

\(y=f\left(\frac{1}{2}\right)=\left(\frac{1}{2}\right)^2+\frac{1}{2}-2=\frac{-5}{4}\)

\(y=f\left(2\right)=2^2+2-2=4\)

b.Có \(f\left(x\right)=0\)

\(\Rightarrow x^2+x-2=0\)

\(x^2+2x-x-2=0\)

\(\left(x^2-x\right)+\left(2x-2\right)=0\)

\(x\left(x-1\right)+2\left(x-1\right)=0\)

\(\left(x-1\right)\left(x+2\right)=0\)

\(\cdot TH1.x-1=0\Rightarrow x=1\)

\(\cdot TH2.x+2=0\Rightarrow x=-2\)

ý, mk vít lộn. Ở dòng đầu tiên phải là: \(y=f\left(-1\right)=\left(-1\right)^2-1-2=-2\)

x=6x7:4

x=

\(\frac{-4}{7}=\frac{6}{x}\Rightarrow\left(-4\right).x=6.7\)

                  \(\Rightarrow\left(-4\right).x=42\) 

                  \(\Rightarrow x=42:\left(-4\right)\) 

                   \(\Rightarrow x=-10,5\)

k mik nha