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# 3.4 (one) - v 3.4 Exponential and Logarithmic Equations 1...

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Unformatted text preview: v 3.4 Exponential and Logarithmic Equations 1. Use like bases to solve exponential equations. 341M111; Exﬁananﬁai Eﬁﬂﬁﬁﬂﬁﬁ by Exgresshtg Kath: 85:38 as a f‘ower sf Elm Same Bass-a 7; If 35” a 2:“‘2 than M m at: <1 3 f a 3‘ ittgrm sash viii: Ii 1 \$15! 1‘11: summits F (A paw af‘fht um 1km, saw fa mil afﬁrm X T— L l. Rewrite- the magma it: {the farm it” -““’ 35‘s”: 2-; 3st 3M 3. [email protected] for the varéahle. wing Magma! Kangariﬂzma to Sam Eannmtial Equalities L Isolate 41w exponentiai ﬁXfII‘FEﬁEiiEﬂ. at Take the namrai ingai'ititm on not}: since of rise equation 5.131925%? using one of the {Winning iamperties: % i E a)“: in is" m .1: in b er iii m 5'5 : X as: 3) J 4* 3‘}th ﬂy}? ﬂy: K’ﬁl’iﬁﬁﬂ‘a- eat 1‘1 -— if“ g i a ‘ k V 'x Egg—QR) X In -: 'F . . >< F :é_ 5:135 if (—3 % ’f—‘N LEW! >< 2. Use logarithms to solve exponential equations. ?Tobme 2H:be QXI :: ‘3"? LQ/MQX‘: VQM‘; 7? XMQ : X "* U’mgaf-I- 5:1 Iqu PmLLW, # 34 Exot-i LHO X: \«Q/V‘LHU Hal Lax/14%;: JQmLHO M4 (x+2)ﬁmtjr:VQ/mmb X%ln0ﬁ_ PmLU/m 4; L}? 0 mph .‘m a: x 35119—2120. RX) ( Lx“>‘“ {Bﬂarkex ’21 :0 V X x .. M Lﬂ‘L Z :3): #3 3 ﬁx. r AHA—e :0 lam/m) \ngomz R :0 (M) : 0 W630?” x 9m : o ( + A ‘“ ‘ m’ P2) km; 12:5 All" #— ‘Zeglmwmk x:0/ 3. Use the deﬁnition of a logarithm to solve logarithmic equations. lining the Domitian ﬁfe Lngarithm in Satire .L-nzgerithmie Eqrreﬁann l- "iiixgiress the anti-Minn in the form legit ﬁrst” 7' 17:. 2‘ rite deﬁnition of a triggirirluu to rewrite the aquarium in {txpejmf'lﬁiﬂl turn): “‘P at. u .. ' ; EﬂghM m it means if m M. I 1% lg git-l“ , '— Lngz-rlthus m migraines. - Q X :1 L) r. t/ g \ m _ ii) 3-, Sula-e for the. variable. " /\ f 3 4. ("insult proposed solutions in the original equation 3135313616 in the soiuiirm X12 L, 3 Set £35115“ values: Em: Wilden. M 17' {it Logarithmic expressions are deﬁned only for logarithms of positive real numbers. Always check proposed solutions of a logarithmic equation in the original equation. Exclude from the solution set any proposed solution that produces the logarithm of a negative number or the logarithm of 0. WELL/viii? Pwhumjt ear (Gabi-4i) 1 "3 loam 43)+ lei (2933) -: a \‘W I "- 3 xi’H ‘: 3! loj (xneﬁst) —— 3 : E? 3 a 4. Use the one-to-one property of logarithms to solve logarithmic equations. Rising the anew-Gaze Wag-arty of isggriﬁms is ﬁrs-1W: Emgaﬁﬂamis: quaaiiaﬂs Expire-as the eqnaﬂmt in the: form log, M w Zogg, N..’I”§1§s form i “wives a single logarithm whose mafﬁeimt is "l on stash aid-t: of this: equation. Use: the €3ﬁ€~i€é-iﬁmlﬁ jazmgwa'ty to rewrite the equations without iogaris‘lmss: 5353-ngr35’1xf .~ sags, at. mm: M r at, [00 X : .{o 2_ Solve for the s‘sﬂahie ‘/ j rig {Times stemmed soiutioas in the origins], equation. inetuﬁe is the stamina set oat}; values has witieh M is} i} and 56 re {1 Robb/m if (0" [Dam-Ht) *7 [oﬁ a, : Z03 (LSXH) .. to “x—H [03 a ,” 3.0) ) &L 2 57+! 3 XH} ; lox+ S2 1. Solve forx. 531% NM “3‘ a if» 7’ ’1? X "I; : 5L” ,7 % x4 X Z I} (a it» E I w " 5 #6“ b w J {73L 2. Solve for x. f”+3*—30=0 Round your answer to 2 decimal places. ' X E§X+3-—%o:o (3092+ Exp %0 :0 La} 3%: P‘- Al4*A F %Dt:o (M) (Amie Pr: -g A: 1: ; X L3.“ 3X: - W 5 : X r ’h 773%: L-Q’h Jib?) :‘ VQ1M‘7 cgtkﬁﬁmﬁ Kim-5: \$9M?“ N‘ ‘ 3. SOIVC forx. ln(x—3)—ln(x+3)=ln(3] x X’? X+3 :LD/h DOM ID (X—z) (XH) 1’ 3L} (X’2)(XH): 4 Yz+><~2>r *2 1 1/ XZ—X—Z = 4 X1); —é :0 (X45) [X-4—L): 0 X:§\. ...
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