+546 8) 3²^x=27
12)3^-2x+2=81
16) 4^x=19
28)3^x -1=72
32) log2x=-1
40)logx-log3=8
+4473 $$3^{2x} = 27
3^{2x} = 3^3
2x = 3
\mathbf{x = 3/2.}$$
$$3^{-2x+2} = 81
3^{-2x+2} = 3^4
-2x+2 = 4
-2x = 2
x = -1.$$
$$4^{x} = 19
log 4^{x} = log 19
x log 4 = log 19
x = log 19 \div\;log 4.
x = 2.1239637567217926.$$
3^x - 1 = 72
3^x = 73
log(3^x) = log 73
x log 3 = log 73
x = log 73 / log 3
x = 3.9053444835847247.
$$log(2x) = -1
10^{log(2x)} = 10^-1
2x = 0.1
x = 0.1 \div \; 2
x = 0.05.$$
$$log(x) - log(3) = 8
log(x \div \; 3) = 8
10^{(log(x \div \; 3)} = 10^8
x \div \; 3 = 10^8
x = 3*10^8
x = 300000000.$$
+4473 $$3^{2x} = 27
3^{2x} = 3^3
2x = 3
\mathbf{x = 3/2.}$$
$$3^{-2x+2} = 81
3^{-2x+2} = 3^4
-2x+2 = 4
-2x = 2
x = -1.$$
$$4^{x} = 19
log 4^{x} = log 19
x log 4 = log 19
x = log 19 \div\;log 4.
x = 2.1239637567217926.$$
3^x - 1 = 72
3^x = 73
log(3^x) = log 73
x log 3 = log 73
x = log 73 / log 3
x = 3.9053444835847247.
$$log(2x) = -1
10^{log(2x)} = 10^-1
2x = 0.1
x = 0.1 \div \; 2
x = 0.05.$$
$$log(x) - log(3) = 8
log(x \div \; 3) = 8
10^{(log(x \div \; 3)} = 10^8
x \div \; 3 = 10^8
x = 3*10^8
x = 300000000.$$
