x=2,y=3,z=5x=2, y=3, z=5x=2,y=3,z=5
ক) নির্ণয় কর: log7(73⋅7)\log_{7}(\sqrt[3]{7} \cdot \sqrt{7})log7(37⋅7)
খ) সরল কর: ya+1(y2)a−1÷(3y)a+1(ya+1)a−1÷y−2\frac{y^{a+1}}{(y^{2})^{a-1}} \div \frac{(3y)^{a+1}}{(y^{a+1})^{a-1}} \div y^{-2}(y2)a−1ya+1÷(ya+1)a−1(3y)a+1÷y−2
গ) প্রমাণ কর: (log10y3+log10x3−log10x3z3)÷log101.2=1.5(\log_{10} \sqrt{y^3} + \log_{10} x^3 - \log_{10} \sqrt{x^3 z^3}) \div \log_{10} 1.2 = 1.5(log10y3+log10x3−log10x3z3)÷log101.2=1.5
নির্ণয় কর: log7(73⋅7)\log_{7}(\sqrt[3]{7} \cdot \sqrt{7})log7(37⋅7)
সরল কর: ya+1(y2)a−1÷(3y)a+1(ya+1)a−1÷y−2\frac{y^{a+1}}{(y^{2})^{a-1}} \div \frac{(3y)^{a+1}}{(y^{a+1})^{a-1}} \div y^{-2}(y2)a−1ya+1÷(ya+1)a−1(3y)a+1÷y−2
প্রমাণ কর: (log10y3+log10x3−log10x3z3)÷log101.2=1.5(\log_{10} \sqrt{y^3} + \log_{10} x^3 - \log_{10} \sqrt{x^3 z^3}) \div \log_{10} 1.2 = 1.5(log10y3+log10x3−log10x3z3)÷log101.2=1.5