[[Sätze Mathe 10]]
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$10^3$
$10^{-2}$
$2^4$
$\frac{1}{2}^{-2}$
$5^4=625$
![[Pasted image 20260310110330.png]]
1) $2$
2) $3$
3) $-2$ Frage: $2^{-2}=81$
4) $1$ Frage: $7^1=7$
5) $6$ Frage: $10^6=1'000'000$
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a) $log_7(5)=x$
b) $log_p(q)=x$
c) $log_a(\frac{p}{q})=x$
d) $log_\frac{a}{b}(c)=x$
![[Pasted image 20260310111202.png]]
a) $x=4$
b) $x=2$
c) $x=\frac{1}{2}$
d) $x=$
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a) $3*log(b)+5*log(d)$
b) $log(12)+log(b)+n*log(d)-log(5)-log(c)-log(c)-r*log(f)$
c) $log(5)+4*log(c)-log(8)-6*log(d)$
d) $5*log(x-4)$
![[Pasted image 20260310113318.png]]
a) $log(1)$
b) $log(1)$
c) $log(1)$
d) $log(150)$
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a) F
b) 
c) 
d) 
e) 
f) 
![[Pasted image 20260317110316.png]]
a) $$log_2(b)-log_2(c)-log_2(d)$$
b)$$2+\frac{1}{2}*log_c(a)-\frac{1}{3}log_c(b)$$
![[Pasted image 20260317111054.png]]
a)$$log(\frac{32}{27})$$
b)$$log(\frac{2*a^3\sqrt{n}}{m^4})$$
![[Pasted image 20260317112016.png]]
a)$$2^{10}=1024$$
b)$$\frac{1}{1000}$$
d)$$a=x$$
![[Pasted image 20260317112724.png]]
a) 
b) 
c) 
![[Pasted image 20260317115307.png]]
a)$$log_2(11)=x=3.459$$
b)$$log_e(\pi)=x$$
c)$$log_{0.8}(0.005)=x=23.74$$
![[Pasted image 20260317120251.png]]
a)$$$$
b)$$log(3^{2x})=log(4*5^{x+3})$$
$2x*log(3)=log(4)+x*log(5)+3*log(5)$ ->$2x*log(3)-x*log(5)=log(4)+3*log(5)$-> $x*(2*log(3)-log(5))=log(4)+3*log(5)$ -> $x=\frac{log(4)+3*log(5)}{2*log(3)-log(5)}$ Halt in Tr dann und dann lösung